The word har(e) is Early Quenya from the 1910s, and I personally wouldn’t use it at all. I would use either am(be)na “nearer to” or ar(a) “beside, next [to]”, which might also be used as “near”.
For all of these, I see no reason why the modified noun would be declined into any special cases.
I’m not sure what you mean be “nominative-object.” The Quenya “nominative” is the noun form without any special inflection, and is generally the form used with prepositions (with some exceptions, such as ú “without” which is used with the genitive).
Quenya used to have a distinct accusative (direct object) form, but it was lost by the Third Age.
har, harë adj.? adv.? "near" (LT1:253)