Paramounts have a serial numbering system unique among Schwinns. Exceptions are the asian built PDG "Series" Paramounts of the early nineties, the Serotta and Match built Paramounts of the lates nineties, and the tandem Paramounts.
Paramount serial numbers
Serial numbers are either on the left rear dropout, or on the bottom of the bottom bracket shell.
Very early Paramounts used "keyhole" lugs, followed by Nervex Professional lugs, Prugnat lugs, and Henry James investment cast lugs.
Waterford has a good Paramount history on its website
HERE. Click on the different periods of Paramount history near the upper left corner of the page.