As long as the part that heats up is under water, it won't burn your turtle. The heat dissipates very quickly in cool water. Feel it and you'll see what I mean.
The only danger would be if, as your turtle gets bigger, he bites it and breaks it. This has been known to happen although it's not common. Someday you'll have to replace your heater and, when you do, why dont you look at replacing it with something like a Stealth Visitherm? It's plastic instead of glass so it can't shatter.
Your little guys are brand new aren't they! When they are little and in a strange place it takes them a long time to settle down and not be scared. It's normal for them not to eat at all for several days - even a week - when they first come home. Also, they may not bask for several days and then, when they do, they may only bask when you're not there to see them. As they grow up and learn that you're not going to eat them, they'll get more confident and eat and bask in front of you. At the first, give them lots of peace and quiet - and privacy - so they can settle in.


