cosmarr1, WELCOME!
You will find that there are not too many New Holland people on this site, or any other site I have come across. That said, there are a hand full of NH owners. I will help you when I can...NH575E, who has already chimed in is very helpful. He has a lot of knowledge because he has been fixing his tractor a while. I just purchased my NH a couple of months ago, so I have some knowledge, but not much at this point...learning everyday. This is a great forum, trust me. I have been on others. The people here just want to help you fix your tractor.
Anyhow, I just had the round cover off the hydraulic reservoir and took a couple pics of the filter. This filter is a wire mesh filter on the suction side of the system. It is not fine like a return filter. I have read of many plugging up and causing problems. See the pics below. The filter is screwed into the back of the tank. In my pics you will see a bright spot, that is where the drain plug is out in the bottom.
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I have a friend, obsessed with Ford which has become New Holland. He doesn't do forums, but I'll pick his brain. Ford & New Holland are excellent machines, but not as common as Cat, Case & JD. They have a 655, 555, and a New Holland 75?
Their 555 was an orphan, nobody seemed to own it. It got neglected 20 years, only fuel. It still functions OK.
The 655 is 1987? and is the everyday around the pit workhorse. The New Holland is the machine nobody is sure where it is. In large part, it loads round bales. Always a discussion in the family which field it was last seen.
My experience with other manufacturers & their hoes, the suction screen in the transaxle is something you clean, and reuse if it isn't damaged. A soft scrub brush, & solvent will clean it.
A John Deere sends under vacuum from suction screen to charge pump. charge pump back rear to filter. It gets complicated then. Filter includes bypasses, but most fluid goes to 8 cylinder hydraulic pump. From main pump it goes to priority valve, then throughout the tractor for clutch, brakes, steering, loader, stabilizers, and reverser.
I sure hope 555 is less complex than that.