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Swiss cheese plants are fond of being a bit root bound. If it is looking healthy, and you do not intend to let it get much bigger, I would leave it in the pot it is in.

With almost all houseplants, it is best to repot while they are dormant in the fall and winter. They are less susceptible to transplant shock if they are repotted when not actively growing.

It is not recommended that you remove the aerial roots. If you prune them, you can open the plant up to disease. If possible, give them something to cling to, like a moss covered pole. This will keep them controlled and less unsightly.

The baby plant is called a pup. I would leave it attached until it has 4 leaves. Then you can remove it. Just make sure it has some roots attached to it when you remove it from the mother plant.

There are a few things that can cause this. This article will help you pinpoint what may be causing the problem:
https://www.gardeningknowhow.com/plant-problems/environmental/what-causes-brown-edges-on-leaves-of-plant.htm

Yes, you can. This article may help: https://www.gardeningknowhow.com/houseplants/swiss-cheese-plant/proper-care-of-a-swiss-cheese-plant-swiss-cheese-plant-propagation.htm