I have a 3000 series and they are great tractors for mowing. Did you talk to the person you purchased it from? I have heard at one time if they have the wrong oil in the rear they won't work properly more so in these then the old cubs. Here's the kicker, the "correct" oil is expensive but a few guys have run Rotella 15-40 with no problems. I just can't do that yet so I spent the bucks on the correct stuff.
A big problem with the 3000 series tractors and ones with a locking differential like you have is they will destroy themselves if not used properly. The braking system was also changed at some point to use the locking rear to stop both wheels. There are also some adjustments that could be out of wack in your pedal control system.
I have a service manual I can email you and a few owners manuals but I will need you to PM me your email. I will see if I can find the link.
MTF has several 3000 series owners over there that could also help. Good luck.
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