Two things here - first don't go taking anyone else's AD meds. If you really feel you might need them, see your own doctor, or as I did, talk to a naturopath. I wouldn't take ADs but I am taking natural supplements that work on mild depression, with the guidance of a naturopath.
Second, let him take the kids since you wouldn't have a problem without the sitch. If they are reluctant to go without you, just find a way of explaining that their dad wants to spend some time with them on his own.
Don't push doing things as a family. I tried that with my H and only succeeded in pushing him away. Only now that we are separated do I see him starting to come back a little bit.
There's no clear reason why they deny OW, even when there's evidence staring them in the face. I can't help with that comment much since my H actually confessed to OW when I didn't even suspect one.
Both 50 S14 M 16 yrs (his 3rd; my 1st)
ILYBINILWY - 24 Dec 2012 H moved out - 27 Jun 2013 Legally separated - 6 Sep 2013 Closing the door and changing the locks