In the Blue search box type 'tea' in keywords box, choose your ship & you will find loads of the info your looking for.
Yes! However they only give you paper cups to use. What we did was take two mugs from the Cafe Promenade up to our stateroom, plus extra teabags and hot chocolate to use as there's never enough. The other thing we did was take a small cup of milk from the Cafe and keep it in the stateroom fridge overnight ready for tea first thing in the morning.
All the tea and coffee on this ship is free and available from either the Windjammer (early till late) or Cafe Promenade (24 hours) so you can always get a cup from somewhere. Enjoy!