The thermostat on the heater should cause it to cut off when it gets too warm, so the heater should not cause an issue unless it is not functioning properly.
The light however, has no such shut off, so if the room is already hot it can overheat the tank. I have the same type bulb over a 2 gallon tank. On hot days I don't turn the light on, and I keep a thermometer in the tank so I can keep an eye on the temperature.
The moisture inside the hood is normal and happens with all tanks. However, I have seen some hoods that have the bulb set up so it is exposed to the water. If it is in yours, I'd try to get a glass top or something else to put between the bulb and the water. With condensation constantly collecting on it, the life of the hood will be considerably shorter (it has happened to me), and I would think it increases your chances of electric shock.
Bettas sometimes just need some time to settle in. Check for signs of disease, and if there are none, just give him some time. If in a few days he is still hiding with clamped fins, check him out real well again to make sure he hasn't come down with something.