There is piles of great info in the site's caresheets-
http://www.beardeddragon.org/articles/
You shouldnt have a red light at all.
And where is the UV you speak of? Is that bulb a mercury vapor bulb then?
You need a digital thermometer or a temperature gun instead of teh round dial one you have on the back. You need to measure the actual surface of his basking spot to see that its around 110 (anywhere from 105-115 is good) Make sure thats the temperature on the surface of the basking spot itself- NOT the air temperature.
And make sure he has a cool side of the tank that is 75-85.
If the white bulb is a mercury vapor he should be 12" from it (i think. I dont use a MVB so someone else can help you more with that). If thats just a regular heat bulb you need to get a UV strip light- either a reptiglo 8.0 or a reptisun 10.0 and he needs to be able to get within 6" of it.
Is the sand calci-sand (i ask cause it looks very finely ground like calci)? This can be risky even though the bag says its digestable. It can clump up and harden in the beardie's system since beardies like to constantly taste their surroundings. You can use non-adhesive shelf liner or tile for an attractive non-particle substrate without all the impaction risk.
Playsand is a less risky sand option, but still needs to be watched, especially as a baby.
You dont need to worry about fruits and veggies so much now. Chop up a salad and keep it in the tank daily and if he wants to nibble he will. If not, no big deal. Fruits are an occasional treat. (make sure you use greens like Dandelion, collards, or escarole. And other good veggies like butternut squash, etc. Never use regular iceburg lettuce or romaine)
If he's not eating his insects, it could just be relocation stress. Beardies may take a few days or a couple weeks to get used to their new environment.
What insect do you feed? I assume crickets? Make sure they are smaller than the space between his eyes. And offer him as much as he'll eat in 10-15 minutes, 2 or 3 times a day. He may eat 20, he may eat 50 or 100. Each beardie is different.
Did you get Rep-Cal Calcium with D3 and no phosphorous? They need this dusted on their insects 5x a week. And 2x a week they need the Rep-Cal Herptivite multivitamin.
Dont worry about him not
drinking the water. Most people do not even have a water dish in their tanks. They get moisture from their food, from their baths (soak them in water no higher than their shoulders a few times a week or more), and their spritzings (get one of those spray bottles for water and spritz him daily)
Ok thats all I can think of right now. But there's alot of info in that caresheets & article link (also located at the top of the forum page)