Serial number & Head badge issues
Schwinn closed the Chicago plant in 1983 shortly after opening a plant in Greenville MS. They were also importing many bikes at that time. Your '85 Traveler was built in Greenville MS. The headbadge still read "Chicago" because Schwinn's corporate offices remained there.

The serial number SC5xxxxx indicates the frame was built in March (C) of '85 (5), and the 1025 headbadge number indicates the bike was built on the 102nd day of '85, or Friday April 12th, 1985: http://www-air.larc.nasa.gov/cgi-bin/jday?month=3&amp;day=11&amp;year=1985&amp;Show_Calendar=Show_Calendar

This of course means your bike is an '85 model as depicted in the catalog here: http://bikecatalogs.org/SCHWINN/1985/LightWeight/Traveler.html