More information is needed about Company B. It is unclear whether it may be questioned or your job offer may be challenged as not requiring a bachelors degree, among other concerns.
You will likely need an H1-b from Company B, as well. I strongly recommend an appointment with a competent and experienced immigration attorney. Good luck.
This is general information, not legal advice, and does not create an attorney client relationship.
1) that will only be possible if you are not about to "max out", i.e. reach your 6 year H-1B limit. The fact that the Co. Filed a labor certification application on your behalf has no bearing on the merits of a new H-1B that will be filed on your behalf.
2) No. That makes no difference whatsoever. See my answer 1) above.
Behar Intl. Counsel 619.234.5962 Kindly be advised that the answer above is only general in nature cannot be construed as legal advice, given that not enough facts are known. It is your responsibility to retain a lawyer to analyze the facts specific to your particular situation in order to give you specific advice. Specific answers will require cognizance of all pertinent facts about your case. Any answers offered on Avvo are of a general nature only, and are not meant to create an attorney-client relationship.
You need to consult an immigration attorney. Schedule a consultation with one of your choice. This is not a forum question, sorry. You are asking for a very specific legal advice.
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As my colleagues have noted, there are "max out" issues that require a consultation and a review of your specific circumstances. Depending on the time you've spent outside the U.S. in the last six years while working on an employment visa, you may be eligible to "recapture" that time, which could make the filing of the labor certification by Company B more beneficial in the short and medium term as well. Speaking with an attorney about your situation in a timely manner is essential.
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