You need a few things.
1. Thermostat for all heat sources
2. Digital Thermometer and Hygrometer
3. IR Temperature gun
4. 2 Hides
5. CHE
First is a thermostat for heat sources. you need one tstat for each source (These are in order from most important to least important.)
2nd is a digital thermometer and Hygrometer (humidity gauge)
3rd is a gun to measure temp
4th is a second Hide.
5th Replace the light bulbs with a CHE. Since the BP doesn't need a light source more than a regular bulb I don't think you need the light bulbs. a CHE is better because it generates heat with no light.
Now for cage size, that is an appropriate size. Now for feeding the Mouse should be 10-15 % of the weight of the BP. Also if you have access I would try to switch him to Rats when you can.
Please make note that you need to have the thermometer and tstat BEFORE you bring the snake home. Just make note of that for the future.