If it was me in this situation, I would check every surface for damage or wear, check every feedscrew and associated nut/s, go through everything else like bearings, mounts, gibs, dovetails, check everything for alignment, bends et al.
A lot of the above can be done during cleaning but either way, I would suggest the "fine toothed comb" method of check everything multiple times taking photographs at the same time for a record.