Have you tried a different cable? Some manufacturers have made connectors with varying lengths (and gasp, even widths). The jack is made by Switchcraft and is a standard part, so it will compatible with standard 1/4 connectors.
If you believe the jack is bad, the only thing you can do is replace it. I'll be happy to send you a replacement part (or to Grasshopper as you require).
As for specs, here's what I know about 02X12757 XLB5:
top: Zebrawood
accent: Purpleheart
body: Mahogany
set neck: Maple with Walnut veneers
fingerboard: Pau Ferro no inlays
2 MXY56 pickups with volume, pan, bass , treble controls
originally sold to: Bass Central, FL
birthday: April 10, 2002 (it's almost 1 year old!)
If you haven't already
registered your bass, please do so. And let me know if you want a replacement jack sent to you or Grasshopper.