Hello and welcome to the forums! Judging by the Mariners reference, you must be in or around Seattle. Lovely city. As is the surrounding area.
Now on to your questions.
A. Rabbits are very cautious animals, being the prey species that they are. When she’s watching your hand, it’s because she doesn’t know what you’re going to do just yet. I’m assuming she’s fairly new to your home, so she’s not exactly sure if she can trust you 100% yet. She may come to trust you fully, or she may always be mildly cautious. When she’s zoning out, she’s fully enjoying being groomed by you! If you watch her mouth, you may be able to see her mouth vibrating slightly when you do this. This is called “tooth-purring” and is a sign of extreme contentment. Now, if she’s not flattening (“pancake-ing”) down and is just sitting stiff as board, she may be nervous while you’re touching her. This isn’t a huge issue, since she seems comfortable enough to stick around, and once she learns that you’re just giving her lovely pets, she’ll come to trust you more.
B. She’s learning to associate your voice with certain things. Rabbits are extremely curious, and as such she wants to know what every sight, sound, and smell is all about!
C. She probably wants to know what’s going on with those ankles! Or, she smells something tasty on or around your ankles and is trying to see if there’s any treats for her there. Keep in mind that rabbits have terrible eyesight and cannot see directly in front of them. They rely instead on their very good sense of smell, and their whiskers, to tell them what’s in front of them. Rabbits can see quite well when something is far away, but once it’s close up, they can barely see it at all.
D. Most likely, she’s being defiant because she doesn’t want to go back inside yet! I recommend not chasing her, as this will make her distrust you. Instead, try luring her in with a healthy treat such as cilantro or parsley or Timothy hay pellets. Reward her for going back inside with such a treat.
E. Well, she definitely wants her food. That’s part of it. But also, once again, rabbits don’t understand why they shouldn’t be allowed to go anywhere they please! They are extremely curious and definitely prone to disobeying your laws.
F. It’s likely that the plastic feels cooler than the bedding does. She also may just enjoy being up higher. Bunnies do weird things all the time. Not everything has a reason. xP
G. Yes, this is very common. What kind of bedding are you using? The safest kind of bedding to use is paper-based bedding such as Yesterday’s News and CareFresh. Since she likes eating her bedding, stay away from compressed wood pellets and definitely stay away from pine or cedar shavings, as these are treated with harmful polyphenols.
H. Yes. She is likely very territorial of her cage, which is now HER area. Definitely avoid cleaning her cage or feeding her / sticking your hand in there while she’s in there. Doing so will make her less trusting of you and will earn you a few nasty scratches and/or bites! Also, what are you feeding her? Her diet should be mostly Timothy hay, 1/4-1/8 cup of Timothy hay pellets (with NO mix-ins) per day, and 2 cups of at least 3 types of greens (the best to use are green leaf lettuce, red leaf lettuce, romaine, cilantro, parsley, butter lettuce). This is a good chance for you to get her back into her cage, by the way! You can put food in her cage while she’s out and use it to get her back inside when it’s time to sleep.
I. Like I said, rabbits are extremely curious and respond to every sight, sound, and smell there is. If she becomes scared while the games or anything else is on, try removing it from the room so she feels safer. But if she’s cool with it, she probably just wants to figure it out or likes the sounds!
J. It’s probably the place in your room that feels the most covered / safe. Rabbits tend to go by the “if I can’t see it, it can’t see me!” mentality.
I also highly recommend checking out the “Language of Lagomorphs”website, which will teach you all about rabbit body language!
PS. Is she spayed yet? She’s old enough to have this done now, and it is highly recommended for female rabbits to get spayed so as to reduce the otherwise high risk of developing reproductive cancers. Spaying her will also help with her behavior and make her more friendly and possibly less territorial (no promises, though)! Consider it!
Also, make sure she’s getting 5-8 hours of out time a day if her area is smaller than 12 sq. ft. Hopefully once your room gets bunny-proofed she can free-roam and just go to sleep in her cage at night!
Welcome again to the forums!