There are people here who can explain the workings of this world much better than I can. But from what I've heard, you can try to get home all you'd like, but unless that rift decides it, you're not going back to your own time period.
It's 2013, post apocalypse. If there is anything left of what your home used to be, the people you knew, you're more than welcome to find them. But a lot of people died. All buildings are restored, but lives were not returned. If they were lost, they were lost.