Hi Cathy,
I think it will be easiest if I break it down by sections.
1. Working this way with the door is a great way to teach the quiet. And you demonstrated this very nicely. The only thing I would change is I would just say "quiet" without the dogs name. Saying Asia could potentially put her in a different mind state. I think what we would all like to achieve, is our dogs turning off the barking on command, but still maintaining focus. So, to do this, just simply say "quiet" and reward!
2. I hate to sound so blunt, but its the easiest way in terms of typing. What you are doing with the vacuum is working against you. Because of the sequence of events. I think Asia thinks she is first supposed to attack the vacuum, then stop and be rewarded. With this type of behavior, I do not reward at all. I only correct. If you correct properly she will stop attacking the vacuum. Right now I think she thinks that when the vacuum comes on she should attack it not only because something inside her is telling her to, but also because she will receive a food reward. So, we can talk more about this in our chat tonight.
3. This situation is similar to the situation of the vacuum in the way that the corrections are not working. We always know if corrections are working because the dog immediately shows us a reflection of that in their behaviors. Asia, continues to bark throughout the sequence even with your corrections. So we can chat more about this as well tonight. For now, I would diminish the verbal praise for barking at the door and just let her do her thing, working the quiet when possible, like in the first example. That being said, I would not let her jump on the door in the way that she is. We can talk more about that tonight as well.
I'm sure with a couple of minor adjustments, you can get Asia behaving exactly how you'd like her to behave!
Thanks, Cathy!
Mark