I wouldn't keep it...
If you go with a toilet that's designed to use pressurized fresh water, it is NOT necessary to install a separate flush water tank...althought tolilets designed to use SEA water should never be connected to the potable water system, toilets designed to use pressurized fresh water have all the fail-safes built into 'em that make it safe...in fact, they're supposed to be connected to the potable water system.
In addition to eliminating sea water odors, there are other advantage to fresh water--lower amperage draw (10 vs 16 for sea water toilets), 20-30% less flush water needed, and at least 50% noise reduction.
So I'd send back the Jabsco and replace it with the fresh water version of the Raritan SeaEra
Raritan Sea Era which was designed to be a "plug and play" upgrade for the Jabsco 370xx series...or, if you want a VERY nice all china "throne" for about the same price, you will LOVE the Raritan "Marine Elegance!"
Raritan Elegance toilet It's designed to use pressurized flush water and is the quietest toilet on the planet...you'll want to optional "Smart Flush" panel that offers a choice of 4 flush options. Defender has it for about $650.
http://www.defender.com/product.jsp?path=-1|51|806|315136|828741&id=1342999
The ONLY hose I recommend any more is Trident 101/102 (identical except for color)
Trident Marine: Sanitation Hose . It's been on the market for more than 15 years without a single reported odor permeation failure...something that cannot be said for ANY other hose, including SeaLand "OdorSafe" (I've personally seen it fail catastrophically!) The online store on this site has 101 for a very good price
sbo.com plumbing
Luz, it sounds like you may have rerouted your head intake line to tee it into the head sink drain line...something I highly recommend. However, it's not necessary to always flush with fresh water to eliminate sea water odors...it's only necessary to flush all the sea water out of the whole system before the boat sits. To do that, just close the seacock, pump the toilet as dry as possible...fill the sink with clean fresh water...flush the toilet. Problem solved without wasting all your fresh water.