I live in PA now but I used to reside in Rahway so I know the areas that you are looking into. In my TREND it does not show as active but it may not allow me to access the County. I can set up with a top agent from my relocation department who works and specializes in the area. Would you like them to contact you? They will be able to help you find what you are looking for.
As far as closing in 4-6 weeks, that should not be a problem as long you clear title and mortgage docs are all ok.