The lawyer cannot create a job for you. You must have a job offer to present to the lawyer.
Mr. Shusterman is a former INS Trial Attorney (1976-82) with over 35 years of immigration experience. His response to your question is general in nature, as not all the facts are known to him. You should retain an attorney experienced in immigration law to review all the facts in your case in order to receive advice specific to your case. Mr. Shusterman's statement above does not create an attorney/client relationship.
You ask some great questions, and you're making life easier for the employer and the attorney by being so proactive. While the documents in this situation will be important, the more critical issues at this stage are what position you are being offered, the nature of the company, and your qualifications, among several others. Bringing a lot of paperwork to your employer at this point wouldn't be the most useful thing to do. The most useful thing to do would be to speak to an immigration attorney (both you and the employer), to discuss the above factors. Only then could the attorney make some recommendations. The article below may be useful. Best of luck.
Kindly note that this posting is offered for informational purposes only. It does not constitute an attorney-client relationship. Remember, this site is akin to an internet blog. Do not rely on information here to make important decisions in your life. Make an appointment to meet with a licensed attorney in his or her office (or via Skype or phone) to obtain competent personal and professional guidance.
The best thing would be to retain a lawyer who will speak to your employer and convince her that she can do it for you.