I have a 1920s Bungalow near the Detroit area. I've recently torn down the plaster/lath on the interior side of an exterior wall. The framing and siding is wood. I removed the blown in cellulose insulation that was there (regrettably). I have put up some pink fiberglass batts in place and am planning on covering with drywall. I've noticed that there is condensation forming between the batts and the interior side of the exterior wall. The interior side of the exterior wall looked to be orginally built with some type of black paper (similar to tar paper but not nearly as thick).
Does this mean I need to to a better job of insulating and sealing air leaks in these locations? Adding exterior insulation is not an option.