Hmm, so I still haven't updated to 8.1U1.
Here's how you would move a desktop icon with a normal mouse:
1) Move mouse pointer to icon
2) Left click on mouse and drag icon to desired location
Here's how you accomplish this on the SP2 w/ Type Cover 2:
1) Move mouse pointer to icon using touchpad
2) Left click (left button area on touchpad) and drag icon to desired location
The same applies for scrollbars. With touchpads (on normal laptops), if you double tap something either using the touchpad area or the left click buttons in a succession, it either opens the program or folder (in desktop mode). Not sure how you would double tap an icon in succession to move the icon. It makes more sense (to me) that a program/folder should open when I double tap an icon on the desktop.