Absolutely, to all questions.
I've sucked a few cocks before and really enjoy swallowing the cum, but when I've tried my own, the wanting usually goes away after cumming (as it does with a lot of other people). I remember once though, my ex gave me a beautiful blowjob and some of my cum went onto her cheek (she swallowed the rest) and I was still hard afterwards. I told her she missed some and licked it off her cheek. It was wonderful