Hello, I will answer your questions in the same numbered manner, for visibility:
1. Does that happen to any other avatar or prop? I just tried various combinations of avatars + props, saved them and I could load them without hitches. There are two ways in which you can save the avatar options: from the prop menu, with the “Save Avatar Options” button and a second one by pressing Ctrl+Shift+1. To load, after that, the saved scene you just have to press Ctrl+1 (you have more slots, from 1 to 0).