Hey Lee,
Welcome to the forum.
If I got it right, after you recorded and then played back that recording, the pitch is up?
If this is so, either;
A. The machine was running slow when the recording was made or
B. The machine was running fast when playing back the recording.
In other words, the speed was inconsistent.
Since the machine is new to you and could have been out of service for a while, it's very possible that it needed a bit of "running in" for the speed to stabilize.
This could be a purely mechanical issue having to do with thickened or even hardened lubricants in bearings etc or electrical with old capacitors needing a bit of time to reform.
I would try and run the machine for a while, then start/stop/rewind etc to exercise it for a bit.
Also, use a bit of contact cleaner on friction connections you can see.
I would suggest taking the machine to a qualified service tech at some point even if the problem seems to solve itself.
If you don't have a service manual, it would be a good idea to search around for one.
You might be able to find one online for free (check with film sound folks since these were often used by them).