The probe may be touching the glass but that is not how the Hygrotherm is designed to work. As it is now all the snake has to do is move the probe and your uth is going to run away and get extremely hot.

Yes, it would be put to much better use with a lamp or che. While the usual advice is to have the probe outside the tank with this application just as with a rhp the probe is going to need to stay inside the cage. I would not place it in the hide and instead have it dangle from a well near the heat source. This will also give you better function for the fogger.

As for the feeding it could be that you are offering to often. If I get a refused meal the snake does not get another offer until the next feed day which is usually a two week period for my collection. I would wait at least five days and then try. Leave the snake completely alone the day prior and of feeding and then feed when its nice and dark.

You could have stressed the snake by handling it while in shed and then with the offering of food several times the issue has just been adding up. I would give it some time alone to relax. As a general rule I do not handle any of my snakes while in shed unless absolutely necessary. I also do not offer food during a shed.