What's your question? Ask

Yes, these can propagate by roots, or by seed. It is possible that there is a shoot from the main plant, but it is also very possible that a seed has come up!

You can care for it until it is a little bigger, and then transplant very carefully to another spot, or a container.

This article will help you to care for these plants:https://www.gardeningknowhow.com/ornamental/flowers/bop/bird-of-paradise-an-exotic-flower-like-none-other.htm

They do! This is a good way to introduce nitrogen and potassium into the soil. When the plant is old enough to flower, it can help to promote blooming as well, since banana peels produce ethylene gas, which promotes blooming, and ripening.

It appears that your plant needs a little fertilization. Use a well rounded tropical fertilizer once ever year, and make sure this plant receives bright, filtered light. Here is an article that will help: https://www.gardeningknowhow.com/ornamental/flowers/bop/feeding-bird-paradise-plants.htm

Yes, removal of the larger stems can be done without harm to the remaining portion. And yes, a reputable professional tree service will be able to do this without damaging the underlying plants and fence and pool. Get some quotes and ask specifically to explain how they will go about it and how they will protect your plants and property. Listen to the answer and if it sounds too cheap or too vague on safe method, go with the more professional and convincing reply.

The north side will be fine, but it will be happier in a west-facing window. If you have an east-facing window, it will, at least get a little direct morning sun. Here is an article for more information: https://www.gardeningknowhow.com/ornamental/flowers/bop/bird-of-paradise-as-a-houseplant.htm

You can remove the dead leaves at any time.