Click-click, how to fix the clicks?

I've got a toaster that won't toast. You push the handle down, but it doesn't click into place and start working.

I also have a rice cooker than won't cook. There's a lever you push to switch it from WARM to COOK mode, it's supposed to click into the COOK mode and start heating up. It doesn't work either.

My engineering brain says these failure modes have to be related. Does anyone know anything about fixing small appliances?