Being jealous of his sister is not unreasonable and I think people are kind of jumping to conclusions about him being an ass and etc when this is just a small glimpse into your relationship. First of all, typically when someone is visiting, people tend to go much farther and above and beyond what they'd normally do because it's more of the expectation to entertain. You are completely valid in your feelings, but I just wanted to point out, especially with family, how it's more of an expectation to do all the things he normally wouldn't care to.
My question is... does he know how much you actually want to do the things you've mentioned? You seem like a nice person, and it seems possible that you might downplay how much doing these activities would mean to you.