@Sue E. has given you great advice.
Pleaee don't do an iodine soak. It serves no purpose and if your hatchling drank it, it might cause problems.
As mentioned beardies need long tube uvb, those screw in bulbs are no good for them. Uvb is absolutely critical for them, so is basking temperature. Babies need 105 to 110 for basking.
Try offering other type bugs also. They can have some mealworms but variety is the key. I feed my hatchings, baby dubias, small crickets, black soldier fly larvae, small hornworms (these grow crazy fast, keep them cool to slow their growth, don't refrigerate) small silkworms and meal worms. Not all at once, I mix it up. Bugs that move attract their attention also.
They have to DRINK water to be
hydrated. Soaking does not
hydrate them unless they drink in the soak. Eyedroppers (plastic only, never glass) or painters pipettes are great for giving water. GO SLOW DO NOT FORCE WATER it's easy to aspirate them if you try to force it. Just slowly drip it on their nose. Most will start lapping at it once they realize what it is.
I do not recommend taking hatchlings to the vet unless your are darned certain something is wrong. Vet WAY to often prescribe antibiotics "just in case" they are much to harsh for hatchlings.