During the year, Lupin rented his vacation home for $140$ days and spent $60$ days there. Gross rental income from the property was $$12,000.$ Lupin incurred the following expenses: mortgage interest, $$14,000$; real estate taxes, $$2,000$; utilities, $$1,500$; maintenance, $$1,800$; and depreciation, $$8,000.(1)$ Compute Lupin's net income$/$loss for the vacation home. $(2)$ On what Form$/$Schedule does Lupin put this information? $(3)$ Also, are there any other deductions Lupin is able to take in regards to this property and what Form$/$Schedule would they appear on$?$