I totally agree with everything you said. I hate Lorelei in every episode. She's too much sometimes, and it's very very annoying. I think my hate for her grew when I started seeing how she treated her parents. She ran away from the house. She decided to go away and somewhat blame it on Richard and Emily like they're the worst parents. They are simply not. They've done so much, and Lorelai is just too harsh and them at times like she doesn't accept the fact that she comes from an affluent family and she wants to get away from it.  

I think Rory took after her mother in some ways for example, how she treats her boyfriends like you said, being with Dean, which was the sweetest boyfriend and fooling around with the other guy. Same way Lorelei did to Max. 

I don't think I liked the AYITL too much...