Access tagging on the main roads through the university campus needs reviewing. Some roads are currently tagged with motorcar=permissive while others have no restrictions for motor vehicles tagged at all. It looks like vehicles could be wrongly routed through the campus.

There are checkpoints at all the road entrances and vehicles can usually only pass after giving a legitimate reason for entry. Therefore motor_vehicle=destination would perhaps be a good choice. Foot and bicycle access is indeed permissive and should be tagged as such.

There are two roughly parallel paths mapped here, one named Sussex Street and the other Maltmill Lane. From memory I think there is really only one path on the ground. Maltmill Lane used to exist slightly further to the east and disappeared when Nottingham College was built, so only Sussex Street should be named here.