Can i buy plexiglass sheets and have them cut to size, in the store?

No they don't cut them

They only cut wood, no other material

Home depot usually does not cut glass or plastic

You can buy them, they no longer cut them. I tried last year. Unless their policy has changed

You can buy plexiglass but you cannot have it cut to size by the store.

Loew's has sheet's and a cutter

I don't believe they carry plexiglass. They cut wood, fencing but not plexiglass