Apart from white, rather than tanned, sails, that is classic 19th - early 20th cent fishing lugger rig: dipping lug main, standing lug mizen. Unlike this boat, it was common for the mizen mast to be raked forward. The sternsprit was universal so that the mizen could be set out of the way of work with the nets. I would have to do some research to find in which coastal waters they also used a bowsprit and foresail.
Never mind downwind, that dipping lug would take her to windward like anything. The 'problem' was/is going about, which is a right palaver. Definitely not a rig for narrow winding channels