Welcome to the forums Thomas.
Do you have a dash service engine light on?
The idle may be dropping after stopping, could be the IAC (intake air control )
Have you got the car in a good state of tune with new plugs, wires, fuel filter etc?
The car wont shift right either if it is bogging out, or experiencing misfires etc.
When hot, is the transmission fluid at the full line while in park. on level ground?