Welcome to the forum. Have you checked the quality and quantity of oild in the rear diff / hydraulics?
The old girl should be due for a service, filters and oils, as well as a good cleaning of the hydraulic pickup screen.
Go to the Messicks site, scroll down and find "Tractor and equipment parts" , Scroll down and on the right you'll select New Holland, then find the screen to enter your model "5000".
That'll bring you to a selection of parts diagrams that will help you research and find parts, and also have a better understanding of what folks here may suggest you do to solve your problem.
The old girl should be due for a service, filters and oils, as well as a good cleaning of the hydraulic pickup screen.
Go to the Messicks site, scroll down and find "Tractor and equipment parts" , Scroll down and on the right you'll select New Holland, then find the screen to enter your model "5000".
That'll bring you to a selection of parts diagrams that will help you research and find parts, and also have a better understanding of what folks here may suggest you do to solve your problem.