I don't have PT. I do have a groundhog H99. I have 4" 10" and 16" augers for it.
The 16 is really hard to use. You are lifting a lot of dirt.
I use the 10" for planting potted trees and shrubs. In general, you seem to end up with about 2" more hole than the auger size. I like to have at least 4" more hole than the pot size to make packing around the root ball easy.
The 4" is for setting fence posts.
For tamping, I have a 6' long piece of 1" iron pipe. It has a gentle bend in it about 6" if you ran a string between the ends. This saves a lot of fingers when tamping a skinny hole. The length also means I can do most of my tamping standing up.
(This same pipe is used as an axle for rolls of poly pipe. Hang from the FEL. The curve reduces the tendency for the spool to wander to one end of the pipe, and snag on the chain.) (Of coruse when I go from tamping to spooling, I have to pry out a couple inches of packed mud.)