red dots are mites. Maybe ticks, but in either case the treatment is pretty much the same.
These dots are red because the mites are engorged in blood. Moving mites tend to be mites that have reached full maturity and are looking for a place to mate and lay eggs off the dragon. When in the biting state they latch on and stay there.
Do everything suggested previously. If you can't find the Reptile Relief, Provent a Mite is also a good product. It can be sprayed on cages as well as the dragon. Jut follow the directions on the can exactly.
If you have any invertebrates in your house (feeder insects such as crickets, roaches, silkworms etc. Or pets, such as tarantulas, scorpions etc. Get them as far away as possible from your dragons. Put them in a completely different room on a different floor if possible. If you only have one room, it may be best to store your pet bugs with a friend, and just keep your feeder insects as far away as possible. Both mite removal products will kill all insects or the majority of them, if it comes in contact with them.
If you have more than one dragon, treat their cages and the dragon as well, even if you can't see any mites on them. This ensures that some mites won't latch onto your other dragons.
You may have to repeat treatments once every month for a few months with the Provent a Mite. The Reptile Relief i never used so not sure on the recommended frequency. I would still treat once a month with it as well. This way eggs hatching outside the cage and babies migrate to your dragons cages, will be killed before they can fully mature and breed.
If you let your dragons free roam, then you are in for a really big job. You will have to pretty much wash the entire house, as mites could be all over the place depending on how far you let your dragon roam.
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PHLdyPayne