It is not good to export labor services in Japan. Is there a problem with the guarantor's job hopping?

Job-hopping in Japan is a serious illegal event and a road of no return. Don't listen to what people say, it's a bluff. As for the guarantor, there is no problem, because it is illegal to go abroad to find a guarantor.

Further reading: How to buy insurance, which is good, and teach you how to avoid these "pits" of insurance.