Which sentences are correct?

1. I cannot move to Los Angeles_ before the week after _ next.
2. I cannot move to Los Angeles_ until the week after _ next.

3. I will not move to Los Angeles_ before the week after _ next.
4. I will not move to Los Angeles_ until the week after _ next.

5. I am not going to move to Los Angeles_ before the week after _ next.
6. I am not going to move to Los Angeles_ until the week after _ next.

I think 2, 3 and 5 are right but I'm not sure.