Did you try left clicking and holding to get the character to move in the direction of the cursor, as well as just left clicking to designate a specific place to more to?
Are you getting the move indicators shown when left clicking the ground? If so, multiple ones, like you are holding the right Shift button to queue move points, or a single one that moves if you click a different spot?
Can you switch to a different character to move, if available? Default hotkeys are [ and ] to cycle between party members or F1-F4 to select a specific character.
Try going into the Controls section of the options, clicking the Default button and then Accept the change.
In the Video section of the options, try switching to Windowed or Fake Fullsacreen mode, and see if that makes a difference.
