Wedding Band Mark:

Engagement Ring Mark:

Overview of Set:

Some additional information I have been able to get from an antique jeweler:
Based on diamond cut and ring style, the engagement ring dates to the 1940's. He said the letters are possibly: EIDEL (there is one more item following the L, but unsure what it might be).
As for the wedding band, he said the style dates to the 1930's-1940's and is definitely American based on the Karat markings. The symbol is possibly a couchant lion, though it appears to possibly have forward-facing horns.
That is all I have been able to get so far. I am hoping someone here might have some additional information.
Thank you!