Spectre, First of all, Welcome, you'll find lots of good information & advice here to any question you ask.
A grey is never too old to learn new things, so I'm sure once you two have bonded, that will occur. You sound like you are doing very well in the time you spend with her.
FairY is right when she says that Patience is the key, after all she's been through. It will take time to adjust.
I believe all greys do that flutter with their chest. Talon does it, I wouldn't worry about it.
Keep us posted, and looking forward to seeing pictures!