Day 2 - Raising mealworms - I have questions

Yesterday I went to Petco and purchased 500 large mealworms (they don't look very large to me, but what do I know?).

They are in a 10 gallon aquarium with a screened top. I put about a 1-1/2" layer of rolled oats in the bottom, then the worms, then about 1/2" more oats on the top. I also put in 4 baby carrots.

Last night we noticed that some were going right after the carrots. By this morning all 4 carrots (in different locations in the aquarium) had sunk into the oats. I'm guessing from all the worms eating them.

On the very top of the oats were hundreds of shed skins. Is this normal? Will they eat the skins or do I need to remove them all?

How long is the various stages of their lives?
How long before they go through the cycle and I will have more worms?
Do Beetles lay eggs their entire lives?
Is it ok to feed the chickens the live or dead beetles?
How long before this first batch will go to the pupa stage?
Is it better to keep them in a lighted room or darker room?

We fed the chickens about 6 worms last night and the ate them up fast!! We can't wait to have a couple thousand worms so that we can feed them by the handful to the chickens.

Thank you.