Thrifting a wool coat: what do you check before you buy?

Coat season is here and I'd rather find a secondhand wool coat than buy a new one that's 30% polyester. So far my checklist is: fabric label, lining condition, moth holes near the collar and armpits, and whether the shoulders actually fit because that's the one thing a tailor can't easily fix. What else do you look at, and what's the best coat you ever found secondhand?