A couple other things:
-Those stick on thermometers aren't great. They're inaccurate and give you readings of the temperatures halfway up the tank instead of on the ground where your snake is actually spending most of it's time. I suggest picking up an infrared temperature gun. They're really cheap and will give you accurate readings of your surface temperatures.
-I'd switch out that purple night bulb for a ceramic heat emitter. They're more efficient for maintaining ambient temperatures and won't interfere with the snake's day/night cycle since they don't give off any light.
-As another poster said, humidity is important. You need to be able to measure it and maintain it at about 60% RH. This is much easier to do in a tub or PVC enclosure, but if you're set on the tank there's some good advice on here on how to keep it up.
The bedding and tank size sound fine to me. Baby snakes do fine in bigger spaces as long as there is sufficient clutter and appropriately sized hides.
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