You do not say which size cutting deck you have. I will be writing about the 48", 3 blade cutting deck
The belt on this deck is self tensioned. The tension is provided by a spring attached to a moveable pulley on the deck. When the belt is in place you can manually force this pulley forward/backward and it will release the tension.
If the belt is off track, place the belt back around all the pulleys in the correct path, lastly force this spring loaded pulley forward/backward (depending on your deck, the direction is not important, the tension is) to get the belt around the pulley. If the belt is placed correctly, when you release the spring loaded pulley it will properly tension the belt.
Typically, these belts should not be jumping off. If yours is coming off frequently the belt may be worn. When they wear they get quite a bit longer, then the tension pulley cannot apply the correct tension. Rarely does the tension spring have to be replaced.
The other problem that causes belt jumping is worn spindles and stationary pulleys. The spindles are the most likely to need replacement. You can buy excellent replacements for JD spindles on Amazon for very reasonable prices. The following spindles are super replacement spindles for the 48" deck. They may very well be the same for smaller and larger decks; I have not researched that. Just search Amazon for Silver Streak # 285851.
Silver Streak # 285851 Spindle Assembly for JOHN DEERE GY21098, JOHN DEERE GY20962,
Spindle Assembly / John Deere GY21098 Pack Size:1 JOHN DEERE GY21098, JOHN DEERE GY20962, JOHN DEERE GY20867, JOHN DEERE GY20454 OREGON 82-359, ROTARY 12910, ROTARY 11964 JOHN DEERE D100, D110, D130, D140,D150,D160, LA100, LA105, LA110, LA115, LA120, LA125, LA130,LA135, LA140, LA145, LA155, LA165, X110, X120, X140 Includes grease Zerk, pulley lock nut, blade lock nut, and washer , Height: 7 ", OD: 5 "
I'm working on z225 now the fuel pump gets the its vacuum from the crank case for it to pump gas these have a crank case breath hose under the mag to keep it from building up pressure let's the motor breath if this is stopped up it will pull the air it needs through the valve breath hose that runs to the crab while letting the mother breath its not as big as the crank case breathing hose and builds up pressure and pushes oil into the fuel pump pull the crank case hose off and check for oil if thiers oil in it check under the mag fine dirt grass gets under their i hope this helps
The oil inside for the reverser is good? You found that the oil level was correct, the fluid was clean and no further actions were needed? Usually the failure is the clutch pack but that is seen in the fluid. Can you feel or notice that the shift lever is moving into the gear selection correctly? Do you notice, feel or hear that reverse gear is engaged when selected. Do you hear any noises or sounds that weren't there before the failure? Did this failure happen out of the blue or have you noticed reverse acting up for a while now? Please let me know. Good luck.