A typerating will help to get their attention but like inca said they are looking at the person, not the rating.
I also believe that an offer to pay for your rating doesn't help at all, not to say the least that it won't be appreciated by future collegaes.
I have been trying for almost 3 years to get an interview but my background is not interesting enough for them, pitty but i will try again later.
No company is perfect but i believe NJE offers one of the best 'packages' in Europe. Good friend of mine is working for NJE and very happy.
good luck!