Got the same problem with same TV
(PT-61-LCX65) that was bought 4 years go in 2006 - first red spot appeared, then few weeks ago got green one nearby. Fixed it for free.
I called Panasonic using the phone
number in the manual (1-888-843-9788), selected Service, told that I got the problem which is most probably "a manufacturer's defect" that should be fixed for free - they redirected me to next step, then to next one and in about 20 minutes they arranged me a home-visit by support person (the guy had to drive 2 hours to get here!). Every thing went _very_ smoothly, I am very satisfied with Panasonic's support, it was just one call
with few redirections.
The service guy came in two days, unscrewed back panel, connected some kind of box to one of the boards
(eeprom programmer?), turned TV onto some channel and let the box do its job for about 5 minutes - then all of a sudden spots disappeared and picture is OK now. The service guy told me that the overall picture quality
should have also improved all across the screen, I guess TV sends some kind of feedback to that box for optimization.
It was free service, the service guy mentioned something about law action and that Panasonic is required to fix that for free.