PB blaster is a good for this stuff too, almost anything liquid is a big help. Whenever you are working on a stuck shaft bolt etc. work it out a little then tap or turn it back in ways, lube, repeat. IMHO if you just drive it out one part or the other galls and a big curl of material is forced out along with the shaft, this wad of material tears the crap out of the surfaces. By going back and forth the chunks get knocked off or leveled a bit and things come apart with much less damage.
Check the shoes carefully, if water got in the drum the shoes often fall off the backing plates. They are just bonded on, water, age, and expansion cause the adhesive to fail.