I can somewhat accept her mind traveling powers but how was she able to send Wolverine back to exactly 1973? It woulda been more plausible if Xavier helped too. And wasnt Wolverine in Vietnam at the time? I assumed thats what that scene with havok and toad were going to be for.
Well, clearly her powers come with some sort of temporal awareness. If she's sending people's minds into the timestream, she must know when she is sending them to, either by accessing their memories or some other process.
Don't over-think this stuff. Just enjoy the movie!
I quite enjoyed the movie but it woulda been that much more enjoyable if certain things made sense.