Bought a 05 RX330 almost 3 months ago from a non-Lexus local dealer. It's time to do an oil change (and probably tire rotation). Since it is still under Lexus's basic & powertrain warranty, I'm thinking of taking it to Lexus dealer service for oil change and complete detailed inspection (including road test). Is this a good idea? I just hope that Lexus tech would identify any fix any problem covered by the warranty. Would they do a detailed inspection for free if I request it? The local repair shops I usually go to wont do any detailed inspection, or they would do it for steep fee.

I have a 1993 Cadillac Sedan Deville and when I turn the key when the motor is cold, it hesitates for about a half a second then cranks ok. But after I drive awhile and the motor is warmer and I turn off the key and it sets for a little while and I turn on the key, it hesitates for 2-3 seconds. If anyone knows whats wrong, I would appreciate any comments. Thanks.