My 10 cents
If I were you, I will consult a couple of lawyers before coming to any conclusion. It will depend on a couple of issues. Who is your new company lawyer (if you have any)? What area are you from? If
around Baltimore/DC/or, VA-Sheela Murthy/Rajeev Khanna will be my choice. If you are from NY/NJ/MA/or north, there are good lawyers everywhere in the area. Carl Shusterman is an excellent lawyer but his fees are high and he is extremely busy. I do not know if Jim Mills has a lot of experience in these cases or not-but you may speak to him.
I know for sure that if you have a renound lawyer like Carl Shusterman-then INS does not even bother to screen your package too much as they do trust some lawyers like him. Ofcourse, being a regular visitor of this site (like Jim Mills) and answering relevant questions is helpful for everybody-but that should not be the only
driving force. Trust me, I am not an immigration lawyer-but I can answer a lot of questions to you.
Make sure-this new employer hires you in same/similar position as what you were employed as in the labor certification. Salary/or Location should not be a big deal for the time being. Keep your paperwork straight and INS will approve your case.