If it were me, I'd replace the coils,.. they have been known to be bad right out the box,... they can be extremely hard to diagnose because they are essentially un-testable,... they're not too much money,... they're easy to install,... and they're part of regular maintenance (or should be), so they're never a waste of money.
as i did when i saw they were $26 each at autozone (where i work) and with my discount were only $41 for both with tax! even without the discount not a bad price for a lifetime warranty