You'll hear "Here's" and "Here are". The latter is grammatically, formally correct. Incidentally, I think you mean "boarding passes", not "border passes". I assume the context to be the check-in desk at an airport. The passengers hand over their tickets (and passports) and normally receive their passports and boarding passes in return
A "border pass" sounds like something which would be handed over by an immigration officer or border guard at a land border.