you will be using a service mirror before and after pulling the toilet.
you will be taking the closet auger up thru the bowl, grabbing a towel,
and pulling it thru the toilet's own trap.
using a 2 gallon or larger shop vac, drain tank and bowl water.
inspect bowl with your favorite service mirror on a telescoping handle
for unauthorized flushed items.
with a spare variety of wax seals and some plumbers putty and your
plumbing tools, remove
water supply and toilet from floor. use mirror to inspect toward sewer
and inlet and outlet of bowl.
happy hunting!