Yes, pitch trim jackscrew work...whatever they need, bearings, sprockets, screwjack, boots, proper lube.
Also, intall new rubber trim channel on dorsal fin when reassembling.
Elevator and Rudder hinge bearings.
New Rudder stop bolts? Rudder horn bushings and bolts?
***Also, there is no instruction in that SB to remove the tailwheel spring. You mention "... remove tailwheel stinger..."
The term "stinger", as used by Cessna, is a descriptor for the tailcone fairing with the tail nav light mounted on the aft end of it.
I suppose it is common Airport Vernacular/Slang to call a Cessna tailwheel spring a "stinger", but proper nomenclature in this case will save you some work that is not in the scope of this particular mandatory service bulletin.
...........however, now may be a good time to remove that spring and have it NDT'ed and repainted, as well as new bushings.
PS early 180's with the tailfeathers removed can be pretty nose heavy. Especially without wings on them. Take precautions!