03 330i transmission indicator lamp on

Im assuming it is a 4 speed transmission and if you are using the "tap shift" which is for performance situations and you wouldnt typically need 4th gear. What speeds are you trying to go into 4th? If you are going too slow it wont upshot because you rpms might drop too low. Will it not go into 4th at highway speeds?

How many mile

I found this one the www.hondacarforum.com
http://www.hondacarforum.com/honda-technical/28562-i-have-1989-honda-integra-can-any-one-tell-me-what-s4-gear-stick.html

You have a couple of choices on this Honda transmission... D and S modes. Consider the D as the normal Drive mode and the S for Sport mode. The difference between the two is that in "D", the transmission will shift through the gears all the way to 4th gear and at lower rpm shift points. In "S", the transmission will shift at higher rpm levels and will go no higher than 3rd gear and light S3 on the dash. Once the vehicle is in 3rd gear (S3) you can then press the S4 button and the transmission will go into 4th gear (when conditions dictate). I believe there is even an S4 indicator on the dash signifying the trans is in 4th gear

The last line looks like it is the key here though.

If the car thinks its in 4th gear when you are trying to start it, obviously it wouldn't start...you could probably hunt around and see if there is a sensor on the transmission stick that runs the "D" vs "S" mode

This is a fault mode in which the transmission either loses electrical power or the PCM deactivates all of the electronics. The transmission will default to max line pressure. The driver will have Reverse and 3rd, with manual 2nd available by putting the gearshift in 2 or 1 (doesn't matter). 1st, 4th, and TCC lockup will not be available. It will not hurt the car to drive it like this for short periods, but use manual 2nd to get the car moving, and be aware that the trans will generate more heat than normal while operating in limp-home mode due to increased torque converter slippage during 2nd gear starts and no lockup in 3rd gear.

Trans shifts into gear harshly, car feels sluggish off the line, No 1st, 4th or TCC lockup available, Manual 2nd, 3rd and Reverse are only available gears, CEL is on: Transmission is either in limp-home mode or has lost electrical power. If there are lots of error codes in the PCM, check the under hood fuse that powers the transmission, and if it pops again, look for a short in that circuit like an O2 sensor harness touching exhaust. Otherwise, check PCM codes for a particular fault in the transmission causing the PCM to put it in limp-home mode.

No 1st or 4th available; trans shifts 2nd to 3rd by itself in D or OD and locks the converter : ShiftA solenoid failed. Easy fix in the pan. Or a wiring problem from PCM to trans.. or PCM.

Car goes into gear but feels very sluggish like the brakes are dragging, but it will roll easily (starts out in 4th gear), you manually shift to 2 to get it moving, once it's moving you put it back in OD and the car shifts 3rd to 4th on its own and locks the converter at the appropriate time: ShiftB solenoid failed: Easy fix in the pan. Or a wiring problem from PCM to trans.. or PCM.

• No 3rd or 4th gear: “3-4” clutches are worn out. R&R. The car is safe to drive (in 2) until you can get it fixed.
• Trans shifts into gear harshly, car feels sluggish off the line, No 1st, 4th or TCC lockup available, Manual 2nd, 3rd and Reverse are only available gears, CEL is on: Transmission is either in limp-home mode or has lost electrical power. If there are lots of error codes in the PCM, check the under hood fuse that powers the transmission, and if it pops again, look for a short in that circuit like an O2 sensor harness touching exhaust. Otherwise, check PCM codes for a particular fault in the transmission causing the PCM to put it in limp-home mode.
• No 1st or 4th available; trans shifts 2nd to 3rd by itself in D or OD and locks the converter : Shift A solenoid failed. Easy fix in the pan. Or a wiring problem from PCM to trans.. or PCM.

Check to see if your transmission is in the limp mode, which would only give you 2nd, 3rd and reverse gears. No 1st or 4th gear.

DTC P0734 is "4th gear incorrect ratio" - that's your torque converter 'LOCK UP Clutch" It's worn out (or you're using the wrong Trans Fluid required by Hyundai - SPIII OR Both). The P1624 is simply the Trans Control Unit (computer) communicating to the Engine Control Module (ECM computer) MIL - on request signal to ECM = asking it to turn on "Check Engine" light. MIL = Malfunction Indicator Lamp. When the torque converter 'lock up" clutch slips or doesn't engage, the trans automatically returns to 3rd gear and stays there (it's called 'fail safe' mode) until you cycle the ignition key, then everything resets until the malfunction occurs again.
You'll need to have an AT (Automatic Transaxel) tester hooked up to verify this. Hyundai has a Service Bulletin specifically for "gear incorrect ratio' codes. If when you changed the trans fluid, was it done at a Hyundai Service Center? If not, someone may have installed the wrong fluid.

Doesn't sound like a simple fix. I would suggest having it serviced.

I found this one the www.hondacarforum.com
http://www.hondacarforum.com/honda-technical/28562-i-have-1989-honda-integra-can-any-one-tell-me-what-s4-gear-stick.html

You have a couple of choices on this Honda transmission... D and S modes. Consider the D as the normal Drive mode and the S for Sport mode. The difference between the two is that in "D", the transmission will shift through the gears all the way to 4th gear and at lower rpm shift points. In "S", the transmission will shift at higher rpm levels and will go no higher than 3rd gear and light S3 on the dash. Once the vehicle is in 3rd gear (S3) you can then press the S4 button and the transmission will go into 4th gear (when conditions dictate). I believe there is even an S4 indicator on the dash signifying the trans is in 4th gear

The last line looks like it is the key here though.

If the car thinks its in 4th gear when you are trying to start it, obviously it wouldn't start...you could probably hunt around and see if there is a sensor on the transmission stick that runs the "D" vs "S" mode

check or replace your thottle position sensor tps that trans needs to know where the throttle is to shift if it is bad it will do as you say wont shift to third
another telltale is it will act like it goes into lockup when shifting into reverse and stall the engine

you need to replace clutch pack for that gear can be ordered seperately from parts store or dealer if you want to save money call peach street auto recycling at 1800-365-2341 for a warrantied used one! also might be time for change trans filter and fluid filter could be slightly clogged but I lean towards clutch pack I replace these alot on Hondas