Q. Someone travelling by car and about to enter or exit a parking lot realizes that next to him and also waiting to enter is a Rabbi driving next to him, does he have to honor him and give the right to go first? Does it matter if the parking lot is of a Yeshiva or institution? How about when driving in a street?

A. Chashukei Chemed (Brochos 47a) deals with the question and since the Halacha rules that we do give honour when walking on the streets (Tos. Shabbos 51b), he presumes that the same applies to driving in a car.

However, he also mentions that travelling in a car may be considered as being in a separate ‘Reshus” or entity. He remains in doubt.
Horav Shlomo Miller’s Shlit’a opinion is similar.

Rabbi A. Bartfeld as revised by, Horav Dovid Pam, Horav Aharon Miller, Horav Chanoch Ehrentreu and Horav Kalman Ochs Shlit’a