Have you thought about trying Soft Claws on him? I found them pretty inexpensive on ebay.
And yep, it's all normal kitten/cat behavior. He wants to play and hang out with you. This is also why I always recommend people have two or more cats at once, the same as rats. They need companionship to play with on their level. Especially if they'll be spending time alone while you're at work or on a trip. When I go to the bathroom, I typically have at least two or three cats waiting for me outside the door, with either a tail or paw reaching under the door ...

As for playing fetch, why is that weird? I think it's adorable. I've had many friends with cats that play fetch!