Did you install the Toro OEM (MTD) belts or was after market belts?
112-0301 / MTD 954-0467A 5L x 90.5
112-0305 / MTD 954-0468 5L x 42
Both of these belt are 5L versions and not 5/8 or B belts. Different profile. And yes when the engine to variable wil be loose at rest. This is an Auto Drive model.
Also note due this transaxle only a one speed with forward and reverse it should be any different if you are going forward or reverse provide that transaxle is working correctly. The driveshaft assembly inside the transaxle may be slipping gear engage by the clutch dogs. Not there so I just relying on what you have posted.