Does Lowe's cut plywood

First 2 are free and 25 cents after that... paper on saw states allows them 1/4 of an inch

Full sheet, yes, I think first 2 cuts are free $1 each after. Double check accuracy of Measurements.

Make sure you check there measurements they often tend to be off on them

You have to buy the whole sheet and they will cut it to yoir needs so try to make use of a full size sheet and get all the cuts you need

They do.

Yes