Is it normal: obsessively pairing up fictional characters

Whenever I become a fan of a show or movie, I feel like I have to pair off at least one character I like from that movie with another character. But the other character has to be the same sex and come from a different show/movie.

But I can't just pair off any two characters together - they have to at least have something in common and it has to "feel right" for me inside. I don't even make up stories about how they fall in love or anything like that; I just really enjoy the idea of them being together.

The more characters I can pair off in the least number of shows/movies, the better. Several years ago I was completely obsessed with two particular shows (not saying which ones because someone might be able to identify me) and the biggest reason for that was because I managed to pair off about 95% of the entire casts with each other using my preferred method.

I have been doing this since I was 12 and I'm 20 now. And ever since the age of 16, I have been making up hypothetical, biological children for the pairings I create. It's illogical seems how I only like same-sex pairings, but this whole thing seems illogical don't you think?

Anyway, I browse DeviantArt everyday to see if anyone has submitted any art of the pairings I have made up. I feel ecstatic if I happen to find some and mildly disappointed when I don't. I used to draw pictures of my favorite pairings and their offspring, but when I posted them online people made fun of me. I felt discouraged, so I don't draw very often anymore and if I do, I keep the drawings to myself.

Please tell me: is this normal? I am curious about the kind of opinions people have about this. I have only told the people closest to me about it and I don't know if anyone else in the world does this too. I would love to hear from you!