@moira @toroidalcore ah, ok, i don't expect everyone to have an ESR meter, esp. not an in-circuit one.
the caps near the meter there are may not be as critical, esp. if they are just decoupling for Vcc on pin 7. (the 8-pin package won't have pins 11 and 12 broken out, they'll be connected internally.)
C1 is going to be the post-rectifier filter on the input side and, while it'd be interesting to look at, is probably something you're not setup to probe with your current gear?
you could check that the IC is at least getting the power it expects at pin 7 safely, if that's all over the place the controller isn't going to be doing the right thing at all.