Do the stores sell items items like 'carry out food plates, cups etc?

Yes it depends on which one youu go to

No more

They have a variety of places to eat at in Brookwood village.

The one you were at yes

Yes

Pizza Hut has carryout pizza in the Brookwood Target

I have not seen the clamshell style carryout containers, just regular disposable paper plates and plastic party cups. For carryout stuff I would try Restaurant Depot over on Lakeshore.

I'm not sure about the carryout plates but cups and etc,they have.