If we're the only shooters on the range, can we walk in the bays and shoot like in tactical bays?

Lone Star has a tactical range for rent that will accommodate up to 6 shooters - it requires a reservation. Current price is $100 for 1 and a half hours. https://lonestargunrange.com/lone-star-gun-range-tactical-range-austin-tx.php

That's up to the RSO and range policy.

From my understanding, no. There are tactical ranges that are local though.