Engine problems of the 2000 Honda Accord

I have had my transmission go out twice in my 2000 Honda Accord. Each time, the gears start clunking while shifting and shortly after the transmission fails and is completely useless. Currently, my car will rev up like it's in neutral and then spontaneously slam into gear and slip back into neutral again which has, again, ruined the transmission. This is a recurrent problem and nothing has been done to make the issue better.

Hesitation.

My "malfunction indicator lamp' on my 6 cylinder 2000 Honda Accord came on. The dealer let me know that their diagnostics pointed to a problem with cylinder #4. He had me authorize a $1000 "tear down the engine" estimate in case my extended warranty didn't cover the repair. American Honda corp sent their adjuster to determine that it was excessive carbon build up in the engine which is not covered by my extended warranty. The dealer had the parts sent to a machinist to determine if there is a damaged part in the cylinder that would be covered under warranty. I have been given a $2300 approximate repair bill to pay on my own if no damage is found. Not that long ago, I spent $300 at the dealership cleaning a carbon build up problem that was causing my accelerator to stick.

Experiencing a thump as the ingition is released from the start position or as the engine starts. This noise occurs only on a cold start,usually overnight. Dealer mechanic tells me that the noise appears to be coming from the rear motor mount. Honda has issued a service bulletin pertaining to this noise,but the dealer mechanic tells me that hnnda's service engineers tells him that the service bulletin pertains to the Honda 4cyl only, and not the 6cyl it seems to me that the service bulletin issued for the 2000 Honda 4cyl. Should also cover the 2000 Honda 6cyl. In closing I might add that this same type noise has also been heard in the Honda 2001 6cyl. Thank you for your help.