A Brooklyn-based property owner has filed applications for a four-story, five-unit residential building at 863 East 12th Street, in the northern end of Midwood. The project will measure 6,448 square feet and its full-floor residential units should average 939 square feet apiece. There will be five off-street parking spaces, one of which will be housed on the ground floor of the building. David Nagan’s Fresh Meadows-based firm is the architect of record. The 4,000-square-foot lot is occupied by a two-story house. Demolition permits have not been filed.