I could be remembering this wrong from the film... but why was Finn so convinced that the freighter Han was using to capture the falcon was the First Order? Surely, as a well trainer soldier of the First Order, he would be familiar enough with their spacecraft and would recognize a true First Order freighter when he sees one. Perhaps he is just panicking... but still.
If it is indeed an actual First Order craft, how exactly did Han manage to get it and how would he have gotten away with it? (although to me it doesn't look all that First Orderly, so I wasn't really thinking this was the case).