Cyclamens.
Provided the corms haven't gone soft and the compost isn't over soggy they should recover ok. Try pinching out the blooms to aid the recovery. If the compost isn't free draining then you might have a risk of the corms rotting.
Fridge.
I assume it's Frost Free. Probably drainage hole is blocked (peas tend to be popular). Knitting needle is a no go, pipe is either rubber/polythene tubing and runs down to tray near fridge motor where it evaporates. Might be good idea to re-post this as separate question with fridge make and model no. for a better answer.