So normally you would say it's about 800 years after the sleeperships left the Sol system, which was in the year 2260 and it would now actually be the year 3060. But, the sleeperships had people in Cryo-Pods, so if the trip would only take a few days to the Sirius sector, people wouldn't have to be in Cyro-Pods (hibernation) now would they ? So i think it's save to say that the trip took many years and we actually don't know what year it really is, because we don't know how long the travelling to Sirius took...
Due to its gravitational pull, you've just been sucked into the vortex called The Lancers Reactor, from which there is no escape...