I can't even guess any of that. But we do have an herbalism forum. They are great with usages of plants in every day ways.

Good luck!

Here is a link that might be useful: herbalism forum

I keep aloe vera near the kitchen stove. If I get a burn -and think about it- I snip off the leaf near the base and just squeeze it. I don't think I'd try to keep any of the gel in advance of actual use. I actually find cold tea bags better for the burn.

The growth rate will vary due to the usual reasons: variety of plant; availability of appropriate nourishment and water; sufficient sunlight; size of pot; etc.

Having said all that, I divided my 24" tall plant last fall and just stuck one of the babies into a little pot that better fit onto the window sill. It was less than an inch tall at the time, with about a half-inch of root. It is now about 8 inches tall, has 8 leaves, and has made several babies. Apparently it is a happy plant, but I'm going to have to sit down and discuss birth control with it.