D.P.
There is a thing called "over tired" where the child gets overstimulated, and exposed to all sorts of new ideas, concepts and other children. Changes do this to children too, and two major changes like that may be a bit tough... not impossible... just tough, esp at 2 years old.
We took a friend's 4yr old daughter in for almost two weeks when they went on a trip that she could not go on. They warned me that she always needed someone in the room with her to fall asleep, and had similar challenges like yours. Taking it a bit more, she needed someone sleeping with her. What I promised to help with was breaking her of sleeping with someone. What I couldn't promise for the short time was breaking her of having someone in the room when she fell asleep.
What we discovered was that when we made a promise with her that IF she woke up, it was ok for her to come get us, she was fine. She only came to find us twice.
We also broke out the lava lamps, the little light mobiles, read to her every night (we do that with each other sometimes, even now that the kids are teens-sounds silly, no?). had a nightlight (several cute ones), and light lullaby music. We kept the door open, and we did stay with her until she fell asleep.
She was not to be in my or my daughters' arms to fall asleep. She had to lie on the bed among all the stuffed toys, pillows, blankies, and anything SHE wanted around her. One of us would sit nearby reading, or holding her hand as she drifted off.
After a few days of this routine, she followed. She woke a few times screaming for help because she was scared (so were we-we thought something happened!) of having awakended alone in a dark room-hence all the lamps.
Give assurances through hugs and actions... set a routine with rewards. A routine works more while little ones can't grasp verbal concepts... The routine will be their security blanket. Don't jump at every gurgle, but be close.
Hope that helps...