@jcboy,
It's not easy for either one of them. They're both born out of an affair and have had a different life than yours. I am sure there is a lot of resentment towards you even though it's not your fault, but you've had the "good life" so to speak with both parents while Mike and Logan grew up with their mothers and possibly a stepfather. I am sure it wasn't as fluently as they might have liked it to be.
You are right though, it's not something you can change and if Logan makes you responsible for something your father has done or neglected to do, he needs to get past it.
Being rude and without manners has nothing to do with ANY of this though, it's just plain obnoxious. Let's hope he realizes his ill behaviour and apologizes.