If it’s not a paper jam then it’s an “unknown printer error” - which actually means waste ink pads are full and need replacing. There is software available that will reset the counters - though you’ll also have to deal with the ink pads to prevent ink from leaking in the future. Certainly does not need Epson Support as they will charge quite a lot for what is essentially just a counter reset!
Ink and paper lights blinking alternately means that your internal “waste ink pads” are full and need resetting/cleaning out. Check your Epson Status Monitor (on PC) for any error messages - if it says “service required” or “…end of service life” then it’s the waste pads. You’ll need to reset the internal counter using WIC Reset tool (a reset key can be had very cheaply). Then you’ll need to either: a) clean or replace the internal pads (usually just a case of removing one or two screws on the recent Epsons) b) extend a piece of tubing out of the printer and directing all waste ink to an external container, such as a bottle or tub.