The AG1980 was designed primarily for semi-pro videography businesses (weddings, events) and other environments where it was understood the owner would have the unit overhauled once a year or so. It was not designed to sit on a shelf, be used sparingly, and otherwise left to rot quietly. (Not criticizing your use of it, just explaining that "low miles" is not a good thing when it comes to this particular VCR.)
Most likely you have an idler wheel thats dried out and lost its friction, so it can't spin the tape reels effectively. Or, the transfer gearing mechanics that engage FF/REW have become sticky from dried-up grease. These are fairly simple repairs, but getting access to the guts of an AG1980 is not for the amateur repair person. You can't get to the bottom of the mechanical assembly without removing the entire tape transport from the chassis. Unless you're very familiar with taking apart this type of Panasonic, and can understand the service manual, your best bet is to bring it to a repair shop for service. The AG1980 was on the market forever, so most any big-city electronics tech will know how to get it up and running for you. But you'd need to decide whether its worth paying $100 or so to repair it: do you use it, or intend to use it soon for a project? If not, hold off on repairing it until you really need it to work: otherwise, it can go bad from just sitting again and you might need to repair it twice. These VCRs also have a ton of electrolytic capacitors in them that are notorious for drying out and causing problems with everything from the front panel display to the video output to tape motion control.
When freshly serviced, an AG1980 is arguably the best VHS player you can get for reasonable cost, but it needs periodic servicing and regular usage patterns to keep it in good shape. If you very rarely need to use a VCR, sell your AG1980 on eBay to someone willing to fix it, and replace it with a Panasonic model more suited to long periods of sitting idle (like the excellent, inexpensive AG2560).