So would someone explain to me how I am suppose to create a misjump?
You should hang aruond in a sleazier kind of bar. You overhear the most useful things. And I think you probably did, but didn't notice that you were being given a HINT.
I know that one time I did end up with a misjump, fought off Thars and there were were system ship involved with the dogfight. Did I miss my opportunity at that point?
I didn't complete the mission while I was still in G1 (I'm planning to re-try it when I'm on the second loop, to get the isolated stars in G4.), but it sounds to me like you did miss a chance there.