Welcome, I like early Paramounts.
The one with the white head tube is a very large frame size. The frames that I mostly see are smaller by today's comparison. The red head framed bike needs to have the stem lowered, you don't want to break off the threaded fork stem with the stem that high. Most of the Paramounts had block chains. I have five Paramount's. Two "very early" track bikes like yours, a 1963 track bike #N27 that I purchased NEW, and rode on Encino, CA, Northbrook, IL (1963 Nationals), and at Kessina, NY (1964 Nationals, 1964 Olympic Trials). I also have a 23" double men's (custom frame) Paramount Tandem which I purchased new in 1971. My favorite is a "never built" Fiftieth Anniversary frame set with the gold plated fork. It's a track bike pursuit bike frame. 700mm carbon fiber sew-up "Paramount" disk rear wheel and a small front wheel size. This frame was made "extra" when Waterford built the frames for the then Schwinn sponsored Wheaties race team.
There's lots of information on the net to help you date your early bikes. The Frame lug shapes, and the way the top of the seat stays are finished off are very important date of manufacture clues. Oscar Wastyn's Chicago bike shop was the Paramount guy in the begining. Eventually Mark Mueller and Richard Schwinn moved everything to the new factory Waterford, Wi, dropping the Schwinn name after 1992.
John