Well, first of all, archaeology does not address abiogenesis, that is in the realm of chemistry. And the problem is not in finding a route for life to have started, but which, of many possible routes, did life take to get started. And, since life started very early in the history of our planet, it looks as if it is not an unusual event.
You're right, it is chemistry. But that begs the question, why can't you reproduce the phenomenon in a controlled lab environment.... especially, since you conclude it must've been easy?
You're wrong about the problem not being the finding of the route... that's precisely the problem, you haven't found the route. You have about 127 competing theories of abiogenesis, none have ever been proven. What's the problem? It's supposed to have happened easily in the inconsistent muck of the primordial soup... you have state of the art labs where every aspect of the environment can be controlled at your fingertips.
When we study life in all it's splendor, we find a fascinating collection of symbiotic and interdependent relationships... this can't live without that... and that can't live without something else. Many things are entirely dependent upon things like the moon, tidal currents, ocean convection, seasons. Would they exist without them? They couldn't exist without them! We can reasonably deduce that life began in the ocean but oxygen is essential for life... so how did oxygen become abundant in the ocean? The only way for that to happen is through motion of the ocean and without a moon, there is no motion of the ocean, it's a static pond incapable of supporting life.
So I think the existence of life is much more complicated that simply having a rock in suitable proximity to a sun.