In reverse order:
Why is my twitter handle "rem"? It's my name. My first name is Remy, and only very close friends and family called me "Rem". But when I found twitter, I knew about the 140 character limitation and figured that registering with "rem" would save my friends a character.
Little did I know my IRL friends weren't on twitter, and this would only result in people (who I considered strangers) would call me Rem now. Initially it felt over familiar, and being British, over familiarity is a bad thing! However, I've since got over myself and it's kinda like anyone who calls me Rem is a friend. So now I have more friends.
For a while, the guy that had @remy (Dan Dickinson) got a bunch of the tweets intended for me during my public speaking, or when Introducing HTML5 was introduced (and apparently he'd get a lot of other misfired tweets) so he set up http://wrongremy.tumblr.com/ which was pretty funny. And then one day I met him! The internet eh?! :)
As for people that inspire me? That's a very, very long list these days. Initially I was pretty stupid about this, it was limited to handful of white guys (literally you could count them on a single hand), but as I've exposed myself to more people and more stories, I'm inspired by so many more people.
Pretty much everyone that's spoken at ffconf has been a huge inspiration for me in some way (here's the complete video playlist of the years we recorded), and a lot of the 350-odd people I follow on twitter - so check them out and follow them too.
(Sorry if that's non-specific!)