Hi,
Regarding issue 1, how did you create the rectangle that doesn’t have border and corner visibility options available? Did you draw it as a custom shape using the pen tool? I’m seeing on our end that boxes and text widgets have those properties accessible, but shapes drawn with the pen tool don’t. More insight into how that shape was created would help to identify why those properties are not useable for that widget.
For issue 2, the behavior of the icons in the 9 beta appears to be the same as it was in version 8, though it was different in Axure RP 7 (they were checkboxes instead and toggled the selection). I’ll pass this along internally so that we can take another look.
For issue 3, rectangle 2 in the pictured repeater wasn’t set as auto-fit height in the attached file; changing it to be so fixed it.
Issue 4 looks like a bug to me; I wouldn’t expect deleting a duplicate widget to change the rendering of the original widget. I’ve filed this internally on our end with the QA team for further investigation on why this is happening. If there are updates to the bug then we’ll post here. In the meantime, the 9 beta release notes page can be used to stay in the loop on what fixes have been released.