If a token creature is exiled this way, it will cease to exist and won't return to the battlefield.

Renown won't trigger when a creature deals combat damage to a planeswalker or another creature. It also won't trigger when a creature deals noncombat damage to a player.

If Constable of the Realm leaves the battlefield before its last triggered ability resolves, the target permanent won't be exiled.

Constable of the Realm's last ability triggers whenever a +1/+1 counter is put on it for any reason, not just because of its renown ability.

Auras attached to the exiled permanent will be put into their owners' graveyards. Equipment attached to it will become unattached and remain on the battlefield. Any counters on the exiled permanent will cease to exist.

If a creature with renown deals combat damage to its controller because that damage was redirected, renown will trigger.

All permanents exiled by Constable of the Realm will return to the battlefield at the same time, and each one will enter under its owner's control.