Hepatitis B, working under Husband's Visa

My wife is currently in housewife visa in UAE, got a job as Assistant Teacher for KG1 class in a school. She is having Hepatitis b as positive.

Can she work? Under husband sponsor?

Generally, yes.  Husband needs to give permission and employer applies for permit (not visa).   Not sure whether her profession falls into the 6 categories which are screened for Hep B.   If that is the case then she will not get a permit.

not allowed with contact to the person

Nope. Teacher will fall under the 6 categories.  Dont risk it.

Hi, will they grant a spouse visa/residential visa to a husband with hep B in UAE?

Yes.  Only a dependent visa.  He will not be allowed to work in the 6 categories.