As a starting point, you should call City Hall in Jersey City to find out what the rent control ordinances say and get a copy of the ordinances from the township directly. The rules will specifically state what type of structure is governed by the ordinances. The fact that the building may have some historical value is not really relevant, unless the township's rent control ordinances address that.
MARY TOM, ESQ.
HUNZIKER, JONES & SWEENEY, P.A.
Wayne Plaza II
155 Route 46 West
Wayne, NJ 07470
Phone No. (973) 256-0456
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You should contact the Jersey City Rent Leveling board, which are located at 30 Montgomery Street and ask if the building is subject to rent control. If it is not subject to rent control, your landlord can reasonably increase the rent. Good luck.