the log is certainly consistent with SharpCap never detecting any significant motion of the image in response to commanding the mount to move. Unfortunately there is less detail than I would like available in the log because the information about movements of the mount and image only gets written to the log after the calibration either fails or succeeds... Not if it gets stuck
If you set the same '4x' speed in the manual mount movement controls on the right and use the direction buttons, do you see movement?
One thing to note is that if you are using a Celestron SE mount (or similar), these can have quite a large amount of movement backlash when switching movement direction, so it could take a long while at 4x to work through the backlash and then for the mount to actually physically start moving.
cheers,
Robin