The Top box has 2 messages lines that displays the current status in the top and the previous in the second line. This sometimes changes when other functions are being preformed also, such as GOTO's.
The four diamond buttons are movement buttons. The top and bottom button are for the Dec, and the left and right button are for RA. They will move the mount at the speed selected by the speed button on the lower left. The Speed button will take you through Slew, Move, Center and Guide speeds, and then back to Slew.
Now the direction buttons have two modes of operation. If you push down and slide you finger off the button the mount will keep moving in the direction of the button until you press it again. If you press and hold, and the let off without sliding your finger off, it works like a normal button.
Since the graphics screen is not multi-touch, if you use the finger slide off method, and touch the opposite button, the mount will speed up. The speeds are in the same order as the speed button.
Also see sticky buttons explanation
Also see What numbers on screen mean.