There is no way to move items around in Arrangement mode other than drag and drop.
Screenshots from your previous posts imply that you are on Windows, so as I am generally using a Mac, I made sure to refresh myself on Arrangement mode on the Windows side, and I can see why you are making the request: scrolling by dragging towards the top or bottom of the screen is pretty cumbersome, and its easy to scroll past where you were trying to go and then you have to move your cursor to the opposite edge to go in the other direction. We can certainly look into making improvements for this experience, and the cut/paste idea could be an interesting alternative.
As far as what you can do right now, perhaps you could leverage one of the custom sort methods to group your photos into chunks that might be easier to arrange? (for example, sort by color class and then as you mark the images with a color and refresh with F5, all images of the same color will be group together). Or you can sort by an IPTC field and apply the Metadata Template with the sequence variable in that field so that as you apply the template, the images get re-ordered. Happy to go over any of this stuff in further detail, but would probably be easiest to do on a phone call.
As far as renaming or creating a folder, you can do both of those in the Navigator. But it really depends on what you are trying to do. For example, if you are trying to move files to a subfolder of the folder they are currently in, there is better ways to do that than via the Navigator.
