What is the room temperature? How well insulated is it?
It could get a little hot with 36 watts on during the day.
IMHO carpets do not need UV but coupled with a normal flouro it can look good..
For a carpet in an enclosure of that size I would go a basking spotlght up one end like a 12v 50 watt halogen. These can look good and can be dimmed if the temperature starts to climb.
For heating my preference is for heat tape under tiles:
http://www.herptrader.com.au/TiledEnclosure but the ceramic heat emitters on sale this month at the Herp Shop would do equally as well and end up costing less.