I think eight apartment shops is worth fighting for regardless. Personally, I would not want to work with a company again if they denied payment on even one shop because of an error on another. I am basing this on the assumption each was a stand alone shop. If this was a situation where it was set up so all the shops have to be completed or payment is forfeited, that changes everything.
To the OP, for future shops where an emergency arises, contact the MSC to reschedule instead of completing a shop with a child in tow when it is not allowed.
Equal rights for others does not mean fewer rights for you. It's not pie.
"I prefer someone who burns the flag and then wraps themselves up in the Constitution over someone who burns the Constitution and then wraps themselves up in the flag." -Molly Ivins
Never try to teach a pig to sing. It's a waste of your time and it really annoys the pig.