2007 Ford Focus front passenger side turn signal blinks fast. Works fine with head lamps off, doesn't work when headlamps are on.

Make sure that all the bulbs are the correct ones and have a good ground.

Did you replace the bulb in the passenger side running light/turn signal socket? There are two filaments in that bulb, one for the running light (which you indicate works) and one for the turn signal. If that bulb (filament) is burned out, it will make the turn signal flash faster. I don't know why you were swapping headlights, don't know where the fire box under the hood is, and don't know what a jumper sore is, so can't help you any further. I have a Saturn Ion, and have never found a fire box or jumper sore in it.

My first guess is you have a burned out bulb. The fast flash of the ones that do work is usually an indication of this. Check the bulbs in the units that don't work.

Go to http://www.bbbind.com/free_tsb.html free wiring diagrams ! You having tail light problems ? Do you know how they work ?

They are turned on by the BCM !
Park, Tail, Marker and License Lamps
The park, tail, license, and marker lamps are turned ON when the headlamp switch is placed in either the HEAD or PARK lamp positions, or anytime the automatic light control (ALC) turns the headlamps ON. When the headlamp switch is placed in the park lamp or headlamp positions, ground from G202 is applied through the signal circuit to the BCM indicating the park lamp request. In response to this signal, the BCM applies ground through the park lamp relay control circuit energizing the PARK LP PCB Relay. With the relay energized, battery voltage is applied through the switch side of the relay, both park lamp fuses, and the supply voltage circuits illuminating the park, tail marker, and license lamps. Ground for the left front park and marker lamps is provided at G101 and the right front park and marker lamps at G100. Ground for all rear lamps is provided at G302.
Turn Signal Lamps
The LT T/SIG and RT T/SIG fuses located in the underhood fuse block supplies battery positive voltage to the body control module (BCM) for turn signal and hazard lamp operation. When the turn signal switch is place in either the LEFT or RIGHT position, ground from G202 is applied through the turn signal switch signal circuit to the BCM indicating the turn signal request. In response to this signal, the BCM applies a pulsating voltage to the front and rear turn signal lamps supply voltage circuits cycling the lamps ON and OFF. The BCM also sends a message via GMLAN to the instrument panel cluster (IPC) to cycle the turn signal indicator ON and OFF depending on the position of the turn signal switch.
Ground for the turn signal lamps is supplied as follows:
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G101 provides ground for the left front turn signal lamp

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G100 provides ground for the right front turn signal lamp

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G302 provides ground for the left and right rear turn signal lamps

bad lamp is my guess,

Have you checked all the bulbs (rear as well as front)?

The fast dash turn signal indicator is telling you one of the lamps is faulty. Check all of them and you will most likely find your problem.

Your right rear turn signal bulb is blown.Replace the bulb and the fast blinking will stop.

fast flashing on the one bulb is a fault is due to the failure of one bulb, hence the holder for the flasher unit not wirking has gone defective the contact may have broke in the flasher unit not working , look in where the bulb goes and compare the working and non working unit, you may see a contact missing, hence repace unit, or repair

Sounds like you need to replace the drivers brake/tail light.

This simply means that the front driver side turn signal bulb has failed. Replace it.