I have a similar experience -- I was going to say that my intelligence seems to vary inversely with my level of social anxiety, but I don't think it's quite that consistent. Sometimes my intellect really seems to shut down for no particularly good reason. If I may lapse into bullshit evo-psych for a moment: I guess my brain sometimes decides that I'm in a social emergency (perhaps if I say one more embarrassing thing I'll be ostracised from the tribe and left for dead!) and it needs to devote 90% of its cognitive resources to that problem.
I wouldn't assume so, unless you have other reasons to think so. I'm not diagnosed autistic, and I wouldn't self-diagnose either, though I do think I'm on the autistic side of 'normal' for some traits.
Seconding that. It sometimes happens to me even in one on one situations, I find eye contact extremely distracting and over-stimulating and I often have to look away to focus on what someone is saying or I get lost. Apparently this is weird.