If you provide a FEDEX envelop to receive your passport at your residence’s address, this envelop MUST mention:
From: your address (NOT the address of the French Consulate)
To: your address
The Schengen Visa allows you to go to Monaco.
The long stay visa is the same than the one to go to France. Please search the type of visa you want to apply for on the search box: For example: long stay student, long stay visitor.