May I ask how long have you had Benny? If he’s new to the environment, he may just be preoccupied with observing the area. If not, I’m not extremely sure, but according to my research, because I was interested in looking into this too, and I have found that rabbits have other positions that exhibit certain degrees of comfort, including lying down, which you expressed that he doesn’t do too much, but just because he not lying down doesn’t mean he isn’t content. Some behaviors to look out for are teeth grinding, stiffness, and squinting eyes as this might exhibit discomfort and/or pain. So monitor his behavior for a few days and make sure he isn’t in any pain. If his behavior looks a little more concerning, I’d say to get him checked out when you can. As for the pee thing, I haven’t seen that before. It could be the excess of water he is drinking. So, in summary, I don’t think you should worry too much about it, as long as he’s not in pain.
Source: http://language.rabbitspeak.com/ah-this-is-the-life/