my electactic mini fridge for drinks is making a loud humming noise, is it broken?

Yeah, this one's common. That loud humming noise is the compressor starting up, and it's normal. The sound should get quieter after a few minutes as it runs. A humming compressor and gurgling refrigerant are standard operating sounds. If the noise is constant and unusual, check that the unit is installed on a completely flat, level surface—an unlevel install can cause extra noise.