Get to a Suzuki or import car specialist ASAP. You may have a failing water pump and that could damage the engine.
If you want to find a specialist, here's a directory link for you:
https://repairpal.com/suzuki-repair-in-bella-vista-arkansas
RepairPal Certified shops can diagnose and repair your 2004 Suzuki Forenza. They provide transparent pricing with a minimum 12-month or 12,000-mile warranty on repairs and services.