Couple things from the piccys and your comments-
The UV light is the flourescent tube (or should be) check the brand and make sure.
The red light (maybe infrared? and name creating confusion with UV?) is for heat and could be left on all the time, but I don't really recommend it.
Here is why- most lizards do better with a cool down at night. The cooler night temps allow their metabolism to slow for a deeper rest state. Inland Bearded dragons are not really tropical- they are more temperate. They can tolerate temps down near freezing- I keep mine outdoors here at night until temps dip down to 40 or below, and in a pinch they can even handle a light frost without difficulty. Most homes are never going to dip down to 40 (that's 5 celcius)- and temps of 50 and above are going to be quite comfortable for night sleeping. So for a deeper sleep and better rest, no night heat. Is really going to hurt him to use it- probably not, but IMO it is better not to do so.
Actually, I'd recommend scrapping the red light altogether and replacing it with a standard incandescent light bulb of appropriate wattage. There is no reason for the color red if the light isn't necessary at night and the lizard and you will both see colors better with a standard incandescant.
The other tip I have for you is get rid of the shavings. It is easy for dragons to ingest substrate accidentally- either from tongue flicking when they walk around, on purpose if they get a little wonky, or on accident when catching bugs and picking up greens, etc. The shavings aren't digestible and the size of the particulate is pretty large, so there is a very real potential for clogging up the lizard in time which can kill it.
Sand for large dragons like yours is fine- the particle size is small and can pass through if ingested or you can also do the cheap and simple newspaper. Not quite as flashy, but easy to keep clean.
The trend online seems to be to line the enclosure with stone floor tiles and then wipe the tiles clean daily. This is partly out of fear that even sand has the potential to create impaction. IMO for adult dragons that fear is largely unfounded in the case of sand if they are healthy and have a good metabolism. I used sand for several years without problems for dozens of adult breeders and so have many thousands of others.
I do something else for my breeders which wouldn't work in the average home but I like it for my breeder cages for 10 years now- orchard grass hay- it is absorbant, they lizards like to make burrows in it to sleep in, and they eat it some which provides long stem fiber and some nutrition, it is absorbant and it can be quickly and easily spot cleaned when poops have dried. But it has a strong odor, the large bales would be difficult to store in the home, and it can mold easily either in storage if there is humidity or in the cage if water spills or gets trapped under a water bowl, so it has to have an eye kept on it and cleaned when moisture becomes a problem, when selecting bales from the farmer I have to check carefully for mold. So it isn't for everyone.
My kids do the paper- it is easy to deal with. Sand looks nicer but has to be kept spot cleaned and changed out regularly.
So probably sand, paper or tile would be best, but I'd really recommend not using the wood.
The lizard has that classic look that I like! Happy for your kids!