A lot of questions!
First...RI is "no discharge," but LI Sound is not, so you can use a Lectra/San there. Since your toilets use pressurized flush water, you'll need to add the 4-gallon salt tank with pump to the Lectra/San. The Lectra/San has to be installed within 6' of the toilet--with V/Flush toilets, within 6' of the vacuum pump. So unless the pumps are close enough together to put the L/S within 6' of both, you'll either have to settle for one Lectra/San on the most used toilet and tank on the other toilet, or two Lectra/Sans. Since you spend a lot of time in RI water where you'll have to use the tank, unless both toilets are used equally as often, the simplest solution would be just one L/S that isn't connected to the tank, and keep the other on on the tank.As for whether seacocks remain open or closed...if you had raw water flush toilets, adding a treatment device wouldn't affect the head intake--so yes, you'd continue to keep 'em closed except when in use. But you don't have an intake thru-hull, so it's not an issue. I can't give you a firm answer as to whether the discharge seacock can remain open. A lot depends on its location. You'll have to install a vented loop between the L/S and the thru-hull in any case, but a vented loop won't stop "ram water" (water forced up the hose by the pressure of the hull against the water when the boat's underway on that tack). Ram water isn't necessarily predictable...on some boats it'll always happen any time you're on that tack...on others, only when the combination of thru-hull location, angle of heel and speed through the water are just right. I think you'll find the answers to the rest of your questions and concerns on the Raritan website (link below)...all the specs and plumbing instructions are there--including how to connect it to a VacuFlush.