In a nutshell, your tank experienced a cycle from the move. If you "cycling" a tank is something new to you, here's a good article:
The mini cycle was cause from junk being released from the sand bed into the water column and rotting. That rotting cause ammonia levels to go up. Ammonia is toxic to fish and coral. The ammonia killed your anemone, and when they go, they can pretty much take down the rest of the tank with them. Your nitrate levels are just an indicator of how much ammonia has been converted to nitrites and then nitrates. I'd actually expect them to be higher from what you describe. You say you tested for ammonia... and it's at 0.0 right now?
" means "live rock". Ziggy was asking how much live rock you have in the tank.
Regarding the fish in a bowl... without a biological filter of some sort, the fish will end up in the same mess it came out of - high ammonia levels. And without a powerhead or something rippling the surface or injecting air into the water, oxygen levels will probably drop in short order.