Harry,An SE tractor would be mechanical shuttle, yes? Your tractor has a dual section hydraulic pump. One for the high pressure system and one for steering and transmission related clutch packs.
Running down the road with PTO engaged shouldn't adversely affect anything. That wasn't the cause of your problem. The filter is a possibility, yes, so changing that could well have a bearing on getting things working again. Changing the fluid most likely wasn't a part of it. Depending on how dirty it was that's a judgement call. Quite often when a hydraulic problem occurs someone will suggest "change the oil and filters". Filters I agree on, depending on how long it's been since done last. The oil, that's another matter. If the oil still looks good and doesn't appear contaminated with anything, I would leave that for later and concentrate on what's wrong first. When's the last time you heard of an engine problem being cured by an oil change?
Since most of your hydraulics are now working again, you probably solved that already. The steering symptoms you describe could be a steering valve problem. That's the sort of thing you get when the valve spool fails to center and return to neutral. The two problems could be related but not necessarily.
In order to make the case that overheating was involved, you would need to determine just how hot was the fluid. If it truly was that hot, something other than the PTO caused it. You can look into that after you figure out the steering issue.
Thanks for the reply... that oil got pretty hot and as I think was mentioned PTO, FEL and Steering were all dead... that is, until I got it back here which gave it time to cool I think... now PTO, FEL are fine it's just the steering... very hard to steer until you feel it go off center then it walks itself to either the right or left steering stop...
the manuals I've got are almost useless... parts breakdowns is about it... the service manual I've got basically says, " Take this or that part off... then put it back on." Seriously, that's about all it offers...
can't find anything online that looks reasonable and the ones that are out there don't show a sample of their text so I know if it's what I need...
Anyway, I appreciate your help and I'll post anything that I find...
John