Karen, all of the above thoughts are good ones. Certainly low thyroid function could be a contributing factor. And Anne, I relate to your low temperature woes. I live in Los Angeles, and was wearing sweaters in the summer following my RT. I'm still chilly 2 years out!
Therapy and anti-depressants are a good combination. But if he's not ready for the former please don't rule out the latter. I suffered through major depression many years ago, long before my cancer, and Prozac just about saved my life. Now of course there are better drugs, things like Celexa, Cymbalta, Lexipro... a bunch of others, maybe even better than those.
I wouldn't hesitate to ask about getting on one of these. They do take time to kick in, maybe a couple of weeks. But once you get Alex's thyroid tested (if not the other things that Eric mentions) you might think about it.
Please keep us posted.