Is it normal to not enjoy other people's company, but still seek it?

There are very few people in the world that I genuinely enjoy spending time with.

Most others, I just don't get their jokes (I understand them, just don't find them funny), nor do I really enjoy their general company. There's nothing wrong with them, I just feel like I'm an emotionless being incapable of building true relationships with others...

At the same time, I don't want to be alone, so I hang out with these people, and TRY to enjoy my time. Sometimes it works, but lately not so much. Since I don't really enjoy their company, I put more pressure on myself that they enjoy MY company. Those that do are then the ones that I prefer to spend time with, but this pressure is exhausting.

Strangely enough, I still care about these people, in my own strange way. I like to make sure everything is alright in their life, and I feel a deep guilt whenever I let them down.

A specific case is my "best friend" of 7 years. Since college has begun for him, and he's found some new friends, I've decided to step down as his friend. Reasons being: his new friends would be better suited for him than I am. And secondly it's like a huge weight off my shoulders (I no longer have to "entertain" him). It's strange because he's trying to keep our friendship together, but for me deep down I just don't really care. Like I said earlier, I never really built a "true" friendship with him (nor anyone) and so it's very easy for me to just drop friends.

In a nutshell, I don't enjoy my time with other people, BUT I WANT TO, so I keep trying.
So what the hell is wrong with me?