I'm of two minds on this.
It's not the kids' fault they were dragged to Syria, so they should definitely be allowed to come back. They should probably be somewhat monitored by therapists to ensure that they didn't start buying into the program, but none of this was their fault.
As for the mother, as others have said her excuse for why she went is total bullshit. She just wants out because her husband is dead and her house got bombed. In addition, I'm a little wary about the whole teaching English thing. Could be totally innocent, and beneficial for bringing education, but could also be something sinister for the future.
At the same time, you don't want to separate children and their mother, so you probably can't admit the kids and not the mother, but then again the kids probably should be placed in state care, because the mother is unfit.
Shit, I don't know.