Re: Transmission hesitates when shifting (Auto)
I personally do not think that the CPS is the problem, if it was I would expect more stalling episodes and a longer time to start the car sometimes. A sudden total failure to start can also be expected.
Vacuum leaks would be my first guess, or less likely a faulty plug or cable. If the engine cover is not firmly seated on the MAF housing it has caused idle problems I have read, although mine was not seated when I first got my car and it ran just fine.
Low oil in the transmission would cause some hesitation, the severity of the hesitation dependent on the oil level. Problems with the valve or electrical plates in the transmission could also be suspected.