It's pretty much a guess (or three guesses!) but I'd go MS-62 or 63 for the 1926 quarter eagle and AU-58 for the 1910 half eagle. The $10 has some scuffs and hairlines plus a minor rim bruise at the bottom of the reverse, but I don't see an obvious cleaning problem. The flat areas along the eagle's neck and at the shoulder look like wear so I'd call it AU-55 or AU-58.
I don't see any reason to suspect these coins are counterfeit. Good luck on the submission, and please share the results when you get them back!
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