1) No doesn’t have to be cycled but some aquarist toss in a seeded sponge filter. I don't use meds immediately I personally observe the fish for awhile.
2) I use a bare bottom aquarium and heater if necessary maybe a couple of plants to make fish feel secure.
3)I would because sometimes a new fish may be infected with internal parasites. You may not know that right away.
4) Yes water changes when needed especially during treatment using medication. @TinaPax-Peeks