Headlight problem My car is running DRL's (daytime running lights) at night. When I turn on the switch that usually turns on the regular low beams, it turns on the high beams instead and I can't turn them off. I have to turn off the lights to turn off the high beams. This also turns off the backlight which lights the gauges, so I can't monitor my speed at night. The lights were working fine the previous night.

Have you had vehicle check for DTC'S diagnostic trouble codes . Check fuse's an relays , find wiring diagrams to see what controls these systems ?
Radio/Battery fuse , fuse G 10 amp located in the right instrument panel fuse box . Do you know where this ?
Fuse Block - Right IP - On the right side of the instrument panel
An there is one on the other end of the instrument panel ,driver side .
Fuse Block - Left IP- On the left side of the instrument panel The fuel an temp . gauges not working is probably the step motors inside instrument cluster . GM had problem with this 03 to 06 .
How to repair GM Instrument Cluster Speedometer Gauge Stepper

Daytime Running Lamps (DRL)
The ambient light sensor is a light sensitive transistor that varies its voltage signal to the body control module (BCM) in response to changes to the outside (ambient) light level. When the BCM receives this signal it will either turn on the daytime running lights (DRL) or the headlights. Any function or condition that turns on the headlights will cancel the daytime running lamps operation. With the headlight switch in the OFF position, the headlights will either be turned ON or OFF, after an approximate 30 second delay depending on whether daylight or low light conditions are sensed. The HTR A/C IGN fuse in the underhood junction block supplies ignition positive voltage to the daytime running lamp (DRL) relay coil circuit. The DRL relay switch contacts are connected to the low beam circuit. When the headlamp switch is placed in the OFF position, the BCM will either turn on or off the daytime running lamps, depending on whether daylight or low light conditions are sensed. The BCM energizes the DRL relay, closing the switch contacts and grounding the low beam circuit. Ground is provided at G101. The DRL illuminate the low beam headlights at a reduced intensity. The DRL will operate when the ignition switch is in the ON position, the gear selector is not in the PARK position and the parking brake is released. When these conditions have been met and the ambient light sensor indicates daytime conditions, the DRL will illuminate.
DRL operation in Manual Transmission equipped vehicles will occur when the ignition switch is in the ON position, and the parking brake is released. - check fuse's an relay first.
Door Lock System Components
The power door lock system consists of the following components:
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Driver door lock switch

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Front Passenger door lock switch

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Body Control Module (BCM)

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Relays: Driver Door Unlock--if equipped, Door Unlock, and Door Lock

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Door Lock fuse 15A

That piece you think is a ceramic DRL module is a resistor , When in DRL mode voltage to the low beam headlamps circuit goes through that resistor dimming the headlamps from low beam to daytime running lamps . It sounds to me like you need a new resistor ,but without doing some electrical testing it could be a lot of things . The DRL relay in the under hood fuse box could have a problem , could be the BCM - body control module , the ambient light sensor etc... Here is how daytime running lamps work .
Daytime Running Lamps (DRL)
The ambient light sensor is a light sensitive transistor that varies its voltage signal to the body control module (BCM) in response to changes to the outside (ambient) light level. When the BCM receives this signal it will either turn on the daytime running lights (DRL) or the headlights. Any function or condition that turns on the headlights will cancel the daytime running lamps operation. With the headlight switch in the OFF position, the headlights will either be turned ON or OFF, after an approximate 30 second delay depending on whether daylight or low light conditions are sensed. The HTR A/C IGN fuse in the underhood junction block supplies ignition positive voltage to the daytime running lamp (DRL) relay coil circuit. The DRL relay switch contacts are connected to the low beam circuit. When the headlamp switch is placed in the OFF position, the BCM will either turn on or off the daytime running lamps, depending on whether daylight or low light conditions are sensed. The BCM energizes the DRL relay, closing the switch contacts and grounding the low beam circuit. Ground is provided at G101. The DRL illuminate the low beam headlights at a reduced intensity. The DRL will operate when the ignition switch is in the ON position, the gear selector is not in the PARK position and the parking brake is released. When these conditions have been met and the ambient light sensor indicates daytime conditions, the DRL will illuminate.

There is no DRL relay , has a lamp control module .
The daytime running lamps (DRL) activate under the following conditions:
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The ignition switch is in the RUN position.

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The ambient light sensor indicates daylight.

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The vehicle is not in the PARK position.

When the above conditions are met, the lamp control module (LCM) supplies battery positive voltage (B+) to the low beam headlamps through CKT 589 (GRY), the DRL resistor, and CKT 12 (TAN). The DRL resistor reduces the voltage supplied by the LCM. The low beam headlamps light at a reduced intensity. The DRL disable if the vehicle is placed in the PARK position. When the ambient light sensor indicates darkness, the low beam headlamps automatically switch from a reduced intensity to a regular intensity.
Lamp Control Module (LCM)
In the center of the IP, below the center heater outlets

Without testing i would say you have DRL control module problem , But that would just be a guess .
In the night mode, the DRL ambient light sensor senses darkness. Then, the DRL module turns off the front turn lamps and turns on the headlamps through circuit 10. The DRL module also turns on the park, side marker, license, and tail lamps. If the engine should stall with the DRL control module in the night mode, the DRL control module will turn off the headlamps and leave the side marker, park, license and tail lamps on while the engine is being cranked. The headlamp switch operates as usual.
The Daytime Running Lamps (DRL) control module is designed to automatically operate exterior lights depending on outside light conditions. The DRL control module operates in two modes, the day mode and the night mode. In the day mode, the DRL ambient light sensor senses daylight. Then, the DRL control module turns on the front turn lamps (non-flashing) if under the following conditions:
• The ignition switch is on.
• The headlamps switch is in the OFF position.
• The park brake is released.

The brightness of the Vacuum Fluorescent (VF) displays is controlled by two signals: the park lamps on signal (circuit 230) and the VF dimming signal (circuit 308). With the park lamps on, the VF display of the radio, heater, A/C control (with RPO CJ2) and the instrument cluster will dim for nighttime viewing. When the park lamps on signal is not present (park lamps off), the VF displays are at high brightness for daytime viewing. When the park lamps are on, the I/P lamp dimmer switch provides a signal (VF Dimming Signal circuit 308) which controls the brightness of the VF displays when the I/P lamp dimmer switch is adjusted.

Do the Daytime running light's work ?

if replacing the high beam bulbs do not fix the DRL issue ,see my tip under 2001 to 2005 civic daytime module repair.The accord you have has the same module.

[Information] For a 2002 Toyota Camry, the Daytime Running Lights (DRL) operate utilizing the High Beams (inner Lamps closer to the center of the vehicle front) at a reduced power.

[The troubleshooting process:] Review the Owner's Manual and ensure the test configuration matches the following criteria:
1. According to the 2002 Toyota Camry Owner's Manual (Check your Owners Manual):
"The DRL system will make your headlights come on at a reduced brightness when:
The light switch s in the "DRL" position.
The ignition is on with the engine running.
The headlight switch is off.
The parking brake is released."

2. Set the Test Conditions according to Step 1 above.

3. Check the headlight bulbs to ensure they are not burned out. If one burns out, there is a fair chance that the other would have burned out at the same time. Replace as necessary. In this case, if the high beams operate, the DRLs should also operate.
4. Test the system, ensuring the step 1 conditions are set. (Engine running, Multi-function Switch on Turn Signals in "DRL" position, headlight switch off (repeating what the manual says -- it should be obvious that in the "DRL" position, the headlight switch should be off / do not have the switch positioned to "High Beam"), and the Parking Brake "off").
5. If DRL lights do not work, check the engine compartment Fuse and Relay Box. there is a 5 Amp DRL fuse -- replace it with the spare. Test (step 4).
6. If it does not work, swap around or replace relays -- there are three (3). Any one of them could be bad (stuck or burned out). Test (step 4).
7. Other less likely possible issues could be that the Multi-function Switch is broken or a connection / wire is broken. [Beyond the scope of this process.]

My problem was that the test configuration did not have the engine running and parking brake off - Step 1. Problem solved with much thought, repetitive tests on the vehicle and going back to the basics -- what does the Owner's Manual say and where are the applicable fuses and relays located?

There's headlight relays for both low and high beam (if I recall correctly) and a main relay (on the junction box near the battery). I'd guess initially that a relay is faulty.

If its the daytime running lights (DRLs) that are flashing the high beam on and off, they are controlled by a combined oscillator and relay box (looks like a large relay can). This box provides about 9v to the HB lights to provide the DRL function. You can disconnect the DRL box and see if the problem goes away.

HB and LB are separate from the DRL circuits. If the HB or LB are flashing (ie at night), I'd suspect the main relay.

SD

MOST VEHICLES HAVE A CIRCUIT BREAKER BUILT IN THE HEADLIGHT SWITCH. OVER TIME THE CIRCUIT BREAKER WILL GET WEAK & IT WILL TURN THE HEADLIGHTS ON & OFF. YOU PROBABLY NEED A NEW SWITCH & THE FUSE BLOWING IN THE TAIL LIGHT CIRCUIT MAY BE A SEPARATE ISSUE.

If you have daytime running lights but when you turn on your regular headlight on they do not come on. Take the bottom of your steering column off (Two Small Screws) and look at the back of your turn/dimmer switch make sure that the light blue wire is connected. The wires will break off after years of raising and lowering your steering column.