Dear Rabbi my question, is can a Noahide or any other Gentile or Non Jew enter a Synagogue ? Also, since Orthodox Jews can not drive a Car to a Orthodox Synagogue on Shabbat since a Gentile walk and not drive to a Orthodox Synagogue would it be better to, park a mile away or a few miles away and walk thank you for youre time today ?

Yes, gentiles can enter Synagogues. A gentile can surely not park in a synagogue parking lot on Shabbat, and should not park right near it, but no need to distance that far away.