I would just give in and make a claim.
I don't think you have any chance of getting anything but if your Mrs is anything like mine they won't shut up about it. Just tell her to get on with it.
Sick child is outside airline reasonable planning, if the aircraft had gone tech you might have had a case.
As for getting delayed due to ATC restrictions... no chance.
Flogging a dead horse about sums it up..... but since when has facts and logic ever got a wife to shut up about something?