Ways to distinguish biological from non-biological origins do exist without fossils, but of course the more ancient the rocks and metamorphosis make it difficult to make the distinction. The following article describes some of these methods.That molecules will not show up in the fossil record is not a "lack of evidence", but simply a cold fact.
How does it "fail" in the lab?
Evolution is not abiogenesis. Abiogenesis is not evolution.
Making such an elementary mistake tells us that we probably shouldn't even bother with your personal objections to either.
Organic geochemical approaches to understanding early life
Abstract
Here we discuss the early geological record of preserved organic carbon and the criteria that must be applied to distinguish biological from non-biological origins. Sedimentary graphite, irrespective of its isotopic composition, does not constitute a reliable biosignature because the rocks in which it is found are generally metamorphosed to the point where convincing signs of life have been erased. Rather, multiple lines of evidence, including sedimentary textures, microfossils, large accumulations of organic matter and isotopic data for co-existing carbon, nitrogen and sulfur are required before biological origin can be convincingly demonstrated.It is worth the read to understand the current research and discoveries of the possibilities of early life.