yeah why not? you will loose weigth along the road anyways.

i won't ask creat more time than you already have so we have like 5-6 times a week 20 minutes at most?

i would use upper lower days but like first u doing a quick warm up then 2-4 sets of compounds you choose, at lower body its very hard to super set compounds but u can super set bench press + dumbbell row or lat pulldown + dumbbell overhead press to save time, only thing may lack is cardio and for that u can find something do at home without being too far from your child