Loss of perspective after short-term postdoc
Reputation: Regarding if your publication record is a problem, it depends on the field. I suggest searching on Google Scholar researchers at the same stage as you (ending their PhD and those that have started their first postdoc) to get a better idea.

Network: If you are on good terms with your first postdoc PI, which I assume you are, then also ask them if they know of any positions. It is insufficient to be applying for postdocs, in some areas they are very competitive. Your advantage is that you have solved a big problem (apparently), but who would know that? Use those that do know to help you out, they might specifically mention you to so-and-so who is looking for a postdoc.

Publish-or-perish: Stepping out of academia will put you in a worse position, I think it will be hard to return.