Indeed, it sounds like you had a bad hair day!!
Unfortunately, you are talking about apples and oranges. The opals
might possibly can be touched up with the flex but only if you have
experience working with stones. Opal can be cantankerous and
subject to crazing if heated. So…be careful not to overhead. If
the scratches are shallow, you might try using SOFT felt wheels and a
very light touch. Of course, if the scratches are near the bezel,
you might end up changing the shape of the bezel as well. If the
scratches are deep, the stones will require complete recutting and
must first be removed.
The tourmaine, peridot and topaz are a different story. Assuming
they are faceted, they must be removed and recut on a faceting
machine. I suggest strongly against trying to remove scratches on
faceted stones with any kind of rotary wheel. The facets will become
rounded and the facet meets obscured. Result will be an ugly stone.
Sorry looks more like ‘a learning from your mistakes session’ than a
waste of work.
Cheers from Don at The Charles Belle Studio in SOFL where simple
elegance IS fine jewelry! @coralnut2