I was in this same situation last year.
If your guy is an aspie, he probably doesn't think anything is wrong to begin with (from your point of view either), and he's almost certainly not after anything, apart from wanting to spend time with you. If there's one thing I wish I had known at the start of my relationship, it's that all the dating advice you've heard or read over the duration of your life - forget it. Those rules don't apply here. For us, a guy not telling his family about you has meaning. More specifically, it means that he's not serious enough about you to mention you to the people who are important to him. While that may hold true 95% of the time, this is the 5% where it doesn't mean a thing. My boyfriend never went out of his way to introduce or even mention me to any of his family, but when he'd have a reason to see them and I was around (we're also long-distance), he brought me along and I met them then. Same thing with the boyfriend/girlfriend label. This is a hugely uncomfortable conversation to attempt (I couldn't bring myself to try), so I have a not-entirely-serious suggestion - get him on facebook if he's not already and see if he adds you to the "in a relationship with" bit. Sneaky, yes, but at least you'll know how he sees you without a dramatic "where is this going" conversation. As for the lack of calls, I can identify with that as well. He's called me spontaneously maybe four times in the last year, and half of those were within the last week. He did do his best to explain why he didn't call though, so I'll list some of the reasons and hopefully you'll feel slightly better and perhaps be able to take it less personally.
Reasons for not calling:
-Always avoided the phone when possible, since childhood. Still not used to it.
-Fear of someone other than the intended recipient picking it up.
-Having to come up with something to say on the spot, and feeling panicky when he can't and there's silence.
-Calling without having something in particular to talk about is extremely stressful. One call can require a whole planning process.
-(if he has a mobile phone) It's used primarily for text messages.
Seriously, the phone thing was very upsetting to me up until a few months ago. I enjoyed talking to him so much that I absolutely couldn't understand why if he cared about me, he wouldn't be equally interested in talking to me. Then he offered to buy me a mobile phone of my own (I'm happy with the landline) as a solution, because it would allow him to reach me directly without the risk of a family member answering. That's when it finally sunk in that it really wasn't personal at all. What we did to get around this is start using webcams, which is almost like being in the same room... but obviously nowhere near as nice.
It's incredibly difficult to just deem an entire lifetime of social rules irrelevant and toss them aside, but that's pretty much what you have to do. It does get easier though. You have to learn to trust your instinct. If everything he says is considered "wrong" but feels right, accept it as the latter.