The washers in Courts don't have a seperate compartment for liquid as far as I can remember. I think they advise you to put it into the drum with your laundry. I'd suggest you get the tabs anyway I think, they work just as well.
I'd take all your own plates, cups, cutelry, pans etc.. but I'd be tempted to wait until you are there to buy a toaster and a kettle (not sure if the latter is actually provided) but you don't want to end up with 6 of everything and you can all share the cost between you. Around september keep your eye out for facebook groups for courts, it's a great way to see who you're living with and you can arrange all of this stuff before you even get there!