As far as Anakin going with Padme to Naboo, I believe it was explained either in the novelization or the comic. It was essentially a test for him. I know that makes no sense. Yes, let's have him go with her to Naboo as a test to see if he's able to keep his hands to himself. If he can, he passes. If he can't, it's just the fate of the galaxy at stake.

Here's another one for you. Padme continually tells Anakin (after the kiss) that they shouldn't have done that and they can't be together. She even does that in front of a fireplace while wearing a sexy outfit. So she says "We can't be together" while wearing an outfit that says "Come and get me big boy!" How's that for mixed signals? If you're really trying to turn a guy off, try not wearing the sexy dress next time.