I believe this is for your own good!!!

I have seen and heard more than one case, in which the job description seemed to be for a higher position, yet the job was like an entry level...the GC application got denied (reason was the low salary, which is not actually low)!!!

and, I don't think you need to worry about your H1 since you will work for the university. With Cap issue escaped, you can get your H1B within 2 weeks using premium processing...

Good luck!