Hi Brian,
I have a similar lathe model to yours, but the slightly bigger version, but mostly the same. It,s been mentioned already but the head stock bearings might require some "pre load" after a years use. To do this there are two nuts on the back of the spindle that lock as a pair.
By loosening the outer nut, this will unlock the inner nut, it's a sort of jam nut arrangement. Then very carefully see if the inner nut can be rotated towards the chuck, but, use a slightly more than hand tight torque so the bearings do not get damaged. Then tighten the two nuts together to lock them. I hope that might help any vibration. In an extreme case of head stock looseness, it might be possible to axially feel looseness.
The other tips on belt condition and looseness are also valid, a crack in the belt might cause a lumpy transmission that feels like an out of balance vibe.
The change gears are a real pain, every time I change mine for various threads, I have to muck about aligning the gears and using the supplied ridicules shim washers. I have no idea why these have not fallen out during use but if they are not set half right they make a terrible racket. In fact I have often thought of making a set of useable nuts and bolts for the change gears and if it's been done, then I hope this gets shared here.
The gears are fairly straight forward to work out, I always cut a thread on a test bit because it's easy to err with the gears and the lever's ABC setting.
Hope that helps
Steve