Make sure tensioner pulley on deck is moving freely and full length of travel. Make sure the belt tension is good. Possibly the deck engagement cable you installed is incorrect.
If the model no you posted is correct it is a Zero Turn mower. when you replaced the throttle cable did you by chance pull the plug off the pto switch. Make sure it is plugged up other than that I would check the pto switch and the wires going to the clutch. By the way in the picture it looks like the spindle in the last picture is not setting straigth like the spindle is broken.