The hot end heater being stuck on would suggest a wiring or electronics problem. It's not likely a power supply or firmware problem.

I have no clue exactly what type of hot end is on the HIC printer, but speaking generically, yes, the dimple or shallow hole in the hot end aluminum block is usually where the thermistor goes.

What I would suggest at this point is starting a new thread in the rep rap subforum area under the specific printers section. The HIC is just a variation of the Prusa i3 reprap printer. Summarize where you are at, linking back to this thread as needed. Posting in that area might get you some additional people helping out. I think there are recent threads from one or two others with the HIC printer posted there - maybe they can add some specific help.