Answer:
Try: 1. 0-0-0?, Kf2; 2. Rg1 mate
But White King must have moved to let Black King get to g1, so White cannot castle.
Try: 1. Qd4, Rd6; 2. ?
Try: 1. Qc5, Rc6; 2. ?
Try: 1. Ph4, Rd6; 2. ?
Try: 1. Rh1+, Kxh1; 2. Kf2+, Bb1!
— Key: 1. Pg3 (threat Rh1 mate)
1. …Kxh2; 2. Nf1 mate
1. …Rxh3; 2. Nf1 mate