1) begin to pray to the nonrev gods
2) make sure your Plan B includes enough days to complete your mission successfully
3) make sure you have hotel lined up for Plan B
4) make sure you have enough $ to pay for food (ouch it's pricey!)
5) good thing you have S2's because almost everyone else going in/out of Hawaii is using them
6) pray to the nonrev gods again (maybe a sacrifice will help--no, not the children!! just a bug or maybe a flower!)

If you're planning to travel all on Delta, obviously your odds are better than a zed on UA. I personally would not even consider using a zed with 2 kids.
How old are your kids? Can you abandon them?? Just kidding....Delta won't put them up front if they're under 8 (after June 23 it drops to 6 yrs, which I DO NOT understand at all)

Good luck and seriously, I hope it works well--keep flexible and repeat 1 and 6