That is a shame! Domain is correct that these units are tougher to straighten out than R-12 units. R-134a is prone to more problems than R-12 was. Not impossible, but tougher. If your home policy gives you a decent amount toward a new one, I'd take it and run.
Also, bear in mind that sealed system warranty is probably 5 years. You sure it's 5 1/2 y.o.? May even be close enough for a warranty special concession if you called Frigidaire hotline. 1-800-944-9044. Weigh your options.