Will my photos get "messed up" when ordering them online?

I will try to explain my question the best I can...

My aunt emailed me some scanned photos of family members. These photos are OLD (like from the 20's and 30's) Anyway, I ended up having to crop the photos b/c when she scanned them, they were all crooked and there were some shiny parts from that clear covering that you see in picture albums.

So after I cropped them, these pics aren't really your standard 4x6,5x7, etc sizes.

I am on Walgreens right now trying to order re-prints online. If I choose to have a picture ordered in a 5x7 when the pic is actually smaller than that, will it mess up the quality of the pic after it is printed?
 
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