Whoever gave you this advice has no idea what he is talking about. You are a professional, Please contact an attorney if you desire to stay in USA.

You need to have certified copy of decision with you while travelling

How do I know I hit the H1B lottery for 2016Y ? Is there any electronic notification the lawyer receive if approved?

If checks have not received the recipt or checks cashed then Yes, you have not been selected in the lottery

I'm planning to star-up a sales office in the US, with the brazilian company I work. The brazilian operation hires 12 people.

You should discuss it with your lawyer or company Lawyer who did L visa. Each Lawyer has different schedule of Legal Fees and it depends on the case.

Premeditated Marriage On A Tourist Visa, Is That Technically Illegal?

you need to consult a Lawyer with your specific situation to avoid any complications in future.

You can attach cover letter mentioning all the documents attached to your N14. You can sign the last page only. Yes, you can use electronic return...

Has anyone ever filed a petition for immigration YOUR BEHALF? See the details please.

It should be no, it's not filed for you

Am I still on H4 status? Can I apply for my h4 EAD? Totally confused?

You should contact your husband's attorney who filled the form to check the problem and attorney will guide you.

Should I allow my cousin's daughter to provide my address?

You will not be financially responsible for just providing your address.

Do we file i765 as a renewal since of EAD since he already had one through DACA or we for a new EAD since it is now with 485?

This EAD will be under C09 category and should be new employment, you can give the dates of DACA EAD where it has question about EAD ever applied...