After PhD - Need advice
There is another option for you, of course, which is a regular position in a non-research oriented institution. In the US, most undergraduate colleges require some research but with lower intensity than at research institutions. Teaching is highly valued and helping undergraduates get started in research, even if not  publishable is also important. 

There are, in fact, many fine such colleges and they do send students to graduate school as well as into industry. You might spend some of your effort in exploring such opportunities. 

But, in general, institutions don't depend on narrow criteria in hiring. There are a lot of things that can influence a decision. Your current experience as an assistant professor can be a help if it is successful. Depending on your field and the level at which you enter employment, your past publication record may have more or less impact.