Update-
switched the red bulb to a 100w clear bulb (I know that's a really high wattage but they didn't have much to choose from and I have a dimmer on the switch)
I did feed Boji a worm, just opened up the front of his mouth very carefully and put in the head of the worm, he ate the rest of it, he seemed to swallow it fine and not be choking or anything. Afterwards he had no stress marks on his belly so I hope it wasn't too traumatizing...
I looked closer at the eye that's bothering him, and on the lower eyelid it looks like there is something stuck in there. It's hard to see in the pictures, but here is his eye closed and open
Lastly, here is the picture of his enclosure (the dixie cup is holding his worms)