At first you can only clear your bounty in Riften, but after completing enough small jobs for Vex and Delvin in each city (Markarth, Whiterun, Windhelm and Solitude), you will...
No. As long as you're using an account that's linked to Facebook or your email address, then your account won't be lost if you uninstall the game. You can always...
Of course you can't update it, because you aren't online. What you can do is connect to the internet, update Steam, and then display your status as "Offline", even while...