It will work
I had leaking faucets in my galley and in the head sink. I replaced them with ordinary home type faucets, I think i bought them in Lowes. Since you are only using them for fresh water, there should be no problem. I had mine for about 5 years and they worked just fine. I also used a sink from Lowes and it was ok also. The sink would show signs of minor rust streakes from time to time but they would scrub out. I would say that was more of a function of it being a cheap sink rather then from not being "marine " grade. In most cases, it is extremely unwise to use anything on a boat that is not marine grade. This just happens to be one of the exceptions.Have fun on your 'new' boat