broken - if you found it rude then don't see him again. I agree that it's impolite to do that, and whilst having plans afterwards is, in my view, acceptable, it is rude to keep checking the time as if to say 'my other plans are more important than you'
If you don't like the way he combed his hair, the way he sneezed - anything - then it is okay to say no. I do think that people get too bogged down in details like that when it comes to rejecting people's profiles online (don't like the fact they're a plumber, or prefer blonds, whatever) but in person if the connection was there you probably wouldn't even care about sneezing or hair or watch-checking. Obviously it didn't work for you so just forget about it and move on. You can reject a person for whatever reason you want - if they're not right, they're not right. If you felt it was rude, then get rid.
As OWW says though, you don't seem like you're in a good place to be dating, you should maybe spend time becoming happier with yourself after your split rather than heading out all-guns-blazing to find someone new. If you haven't given yourself time to grieve your old relationship then you're more likely to make bad choices. No one wants you to get more hurt than you have been, and dating can be rough, so it's said with respect.