you cannot travel beyond the speed of light, it is the basic law of the universe
the form of time travel is somewhat wierd.... it isn't really travelling time for what most of us think of time travelling in movies and stuff. I cannot get into a device, and hit a button and say I want to goto 1520 or 2035. It doesn't work like that from my BASIC, BASIC understanding
what it really boils down to is the faster you move, the slower time goes for YOU. If you stay on earth, and I get on a rocket that puts me in orbit at the speed of light, and I orbit for 5 years, when I come back, it will look like i only aged 2.5 years compared to your 5. Time slowed down for me, yes I was really gone for 5 years though. Our principal of the calendar would be the same, but it would be like I only aged half of what you did.
this is really mind perplexing stuff, and I've had an interest for it lately, for some strange reason. I'm not really smart enough like an Einstein or Hawking to fully grasp physics and the universe. I can read stuff on it though. Sucks when all you can do is read about it, I'm just reading what somebody else wrote, could be wrong information, its not something I can test out, or experience myself