I can't really tell from you photos. But get used to that trying to photograph coins.

The proofs for this series come with an "S" mint mark. The mint mark will be on the obverse (the side with Washington's bust) on the lower right.
If you have an the it could be a proof (there are also "S" mint marks that are business strikes, you might want to keep it if that is the case, as they were sold as collector only items).
Look at the edge and see if it is solid silver or if it looks like a sandwich (clad).
Even if it has a solid color edge that doesn't mean it is a proof. Companies like to take the quarters and then gold, silver, or platinum plate them and mark them up really high for unknowing buyers (new collectors, investors, people buying coins as gifts).
If you have a scale then weigh it, a clad is 5.67 g and a silver is 6.25 g.
If you decide to keep the coin there are many options. The simplest option is to get a 2x2 holder (they usually come in stacks of 100) and carefully staple it in. Don't nick the rims when you do. If you don't have a flat cinch stapler then you will want to get some pliers and squish the staples down so they don't scratch other coins. That is the most basic thing you can do (and is what I do for 95% of my coins), but there are options like albums, plastic holders, coin baggies, etc.
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