BA Silver will you get you in the broom cupboard. It is a landside 'lounge' with a coffee machine, television and small fridge and overlooks the set-down point. Ask the check-in attendant for the code.
The flight will qualify for mileage, as all BA flights do, but at that price for three people I am guessing it'll be the 25% miles and no tier points. For your daughter just ask for the Exec Club number to be added to her booking at check-in.