Electric Fireplace

Merry Christmas
Mine is not fixed in place, but rather is part of a TV stand. It plugs into a standard receptacle. It's on right now, and is doing a goog job of heating the living area. So I would say yes and yes to your two questions.
 
I'd imagine a small gas / propane or wood pellet fireplace / insert delivers about 20k BTU/h ~= 6kW of electric resistance heat equivalent to a room.
If I were replacing a supplemental room 'fireplace' heater and switching the fuel to electric my guess is you'd want at least a 3kW electric resistance heater/fireplace, presumably there would be ductless mini-split or some other primary heat source.
 
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