I have an old (circa 1948) cedar chest my dad gave my mother one
Christmas that I would like to refinish.

It is veneered (some of which is coming loose) with many "water glass
rings" where careless grandchildren sat their pop cans in later years
(mother would roll over in her grave...).

Any suggestions on how to:
1) Remove the "water glass rings"
2) Strip the finish withiout damaging the underlying veneer and inlays
would be appreciated.
3) Repair the veneer (glue back down, not replace)