<<Doesn't want to meet my parents?>>
Having read ahead, that just about sums it up, which is why he needs to just "get over it", whatever "it" is and just meet your parents.
<<I have been <snip> meet my parents.>>
Why a year? You know what's going to happen at one year? You're going to hear some dumb excuse about why waiting until some other, later, arbitrary point is a better time. That's all.
And I see that ruining your one-year dating-anniversary - needlessly!
<<My parents ask <snip> meeting my parents.>>
Frankly, I think it's YOUR call, whether or not it's okay to allow your boyfriend and your son to hang together. It's important for the relationship's sake.
Your parents are in no place to judge the boyfriend because they haven't met him. Having said that, the fact he insists on keeping his distance IS SUSPICIOUS, objectively speaking. The longer this goes on, the more suspicious the parents will be, and rightly so. And this is only going to make the inevitable meeting that much more AWKWARD when it does happen. And, when it all goes down like a lead balloon, your boyfriend will only have himself to blame. He needs to know this, and you need to tell him.
<<Am I being unreasonable? Am I being pushy about it ?>>
I don't think you're being unreasonable. I've never heard of a relationship in which the couple hasn't meet each other's parents after eight months of dating! And I've especially never heard of anyone successfully avoiding meeting parents after all this time. It's time. You're not being unreasonable.
You've got to find out what's got him all "weirded out"