I have a 2003 V-6 coupe that I had to have the transmission replaced for that problem. It was replaced at 90k and honda paid for part of the repair. Honda had problems with the V-6 transmissions from 1999-2003. They extended the warranty on the transmission on the 1999-2000 models.
there was also a recall on the 2003 for a problem with 2nd gear burning. if that recall wasn't done then that's the place to start because they were replacing the transmissions at no charge if the gear was burned. recalls don't apply to the owner; just to the car so it doesn't matter that you purchased the car used.
sounds like that's the reason the owner sold the car.
as for the TCS, the TCS (traction control system) works by cutting out cylinders to reduce engine power to restore traction. anytime there is a reduction of engine power the TCS control unit is fooled into thinking the TCS is engaged so it puts the light on. The TCS could be triggered by an engine misfire or possibly by the transmission problem.
I'd recommend you take the car to a dealer and have them check to see if the recall applies to your vehicle and get that done first if it does. then pay them for a diagnosis of the trans problem and you can make a decision on where to go from there.
my guess is the trans will have to be replaced based on my experience with my car.
hope that helps
