x2 on these questions. also, is your thermometer/hygrometer digital or analog/dial?
x2 on these products. i've used both and (when properly set up) have never had issues.
you don't mention a thermostat for the UTH you have now. if it's unregulated PLEASE unplug the UTH: they are dangerous when unregulated, reaching well over 100° and can kill your snake. you say you have a bulb, so going with out a UTH for a bit until you pick up your new UTH AND thermostat will not cause any harm to the snake.