How did he take advantage of her? He didn't force her to drink. He took her to be with his friends. He offered her a drink, Rory said okay. And, unless he's a mind reader, or had seen her getting drunk before, there was no way he could know if she could hold her alchohol. Later, after Dean broke up, all we know was he offered to have her watch Finn's Passion of the Christ. Did he offer her drinks? We don't know (since we didn't see the scene) but it's likely he did. Did he do it to take advantage of her, because he doesn't care? I say no. At worst, he's imprudent (and, he made sure she got home safely, so he wasn't even all that reckless). But, it wasn't because he didn't care or wanted to take advantage of her. Logan's a party boy. He tried to cheer her up the way he knew how. But, I don't see anything sleazy in them hanging out, even if they did drink. And, there was no FORCING of any kind. Unless we have a different definition of forcing. Forcing what? Forcing her to drink? I doubt he poured the liquor down her throat. He certainly didn't force himself on her sexually. Not unless putting his arm around her counts, and it didn't come off as a come on, to me. At most, all he forced Rory to do was watch some bad acting by one of his friends.
logans offering to take rory to atlantic city was just ridiculous. anyone who actually was LISTENING to rory would have tried to talk some sense into her and gotten her to call her mother like she really wanted to.
Logan was listening. Just because someone doesn't come up with the perfect response doesn't mean he's a jerk and doesn't care. Logan doesn't want to push her. Rory isn't a child. She doesn't need Logan to tell her to call her mom. It may have been "ridiculous" to suggest taking her to Atlantic City, but can it be said he offered because he doesn't care? He isn't going to direct her to do anything, probably because he feels that his dad is trying to force him. He offered to take her to Atlantic City because he wanted to do something to cheer her up. That doesn't change because it wasn't the perfect thing to do.
And, sex crazed? How is he sex crazed? The two of them are in a relationship (again, there was no sex or hint of sex or hint that he was trying for sex at the Yale party, and the first time they did have sex, he bent over backwards to make sure she was okay with it. Doesn't seem crazed to me). Rory has never seemed reluctant when they've been making out. She isn't sex crazed, is she?
I just don't see that he's done a single thing to Rory. At most, he hasn't discouraged Rory from her own foolish choices. He hasn't forced her to do anything. In fact, if there's a criticism I can give, it's that he's gone the opposite way to let her find her own way.