Stayed in 2 bedroom twice and I believe we used the bottom of the boiler pan as a cookie sheet and YES to the corkscrew! You can always call house keeping and get items you may need that are not there.
I stayed in a 1 BR at BCV in March. There was an inventory list in the kitchen showing what was supposed to be there. The list said 1 cookie sheet and 1 corkscrew. I assume BLT would be the same.
You're supposed to have a corkscrew (and a bottle opener) but I can't remember the last time we checked into a room that had either item. But as someone else mentioned you can always call housekeeping and they'll bring one right up.