Door Opening Fiasco

(two blogs today...scroll down if this is your first 'hit')
Ladies. I am going to need some cooperation on this one. Please. Please! end the controversy once and for all. Lets go in order of importance on this little quiz.

Upon entering a car, is it ever cool for a guy to open the car door for a girl?
When is it not cool to be opening the car door?
If your car has keyless entry lock openers, does it ever make sense to open the car door?
If you are approaching the car from the drivers side does it make sense to go to the other side just to open the door?
If you are walking on the left of a girl and the door to a restaurant is on the right, should you get ahead, open the door, then scoot out of the way so the girl can get in? or is it better to have her start the opening of the door and you swing it wide open when it gets to your reach?
Is it proper to open the door first and then just hold it open while the girl comes in behind you?

Does any of this seriously matter to any girls or do we just overthink this part of a date?
my chivalry awaits your answers.