Just got a new ball python today. It's not a hatchling but it's still pretty small. Spent $150 for the snake, a stick on thermometer, a 10 gal tank, a nice locking top, a water dish, a bark hide, and the 50watt heat lamp/bulb. Right now his temp is reading about 84 degrees and he seems pretty active. Does everything sound ok with my setup?

Also I'm wondering if it's safe to keep him in a closet with the door shut for about 10 hours a day. I live in an apartment and need to keep it hidden. I'm just worried about whether it not it will have enough air to breathe. I could keep the door open, but the bright red light from the lamp makes it look like I'm growing pot or something. It's a big walk in closet with carpet floors.