Looks like a kenya tree coral to me
Kenya Trees are exceptionally hardy so I wouldnt worry too much about your lighting, but if its truly plain old flourescent tubes I'd at least put some urgency on getting a proper aquarium spectrum bulb.
Frogspawns will kill kenya trees if they touch them. And I dont know of a way to encourage a clown to host. They either want to or they dont bother
Sounds about right . Just be careful with a fast-growing nem population. They can get out of control and use up space you'd otherwise rather have for corals.
MOST will. Some anemones (most notably tube anemones) are non-photosynthetic, but just as with corals, most of those available in the hobby have zooxanthellae in them.