When you have an EAD for adjustment of status, what option do you choose on a form i-9 when you start a new job?

You are an alien authorized to work.

Adjustment of status

Disclose all your employment, even if self employed.

What forms do I need to fill when sponsoring dad for green card?

You file everything at once including the I-130, https://www.uscis.gov/greencard/immediate-relative-us-citizen. Recommend you meet with an...

Would applying for a Tourist vida affect my J1 application?

Should not affect it, be sure to evidence you will be returning to your home country and you do not intend to stay in the US.

Can someone ,who left USA illegally to Canada, re-enter USA again with no problems?

Very possible he will be treated as an overstay and not admitted to the US since there is no record of him leaving the US.

Question on N-400 "Failed to support your dependents or to pay alimony"-paid indirectly for bills.

Sounds like the answer is “no” unless your wife is claiming you didn’t pay?

Can one get EB 3 visa as a start-up author with his first publishing contract ?

It doesn’t work that way, you need a job offer for EB3. Think about having consultation so you can discuss what visas are possible, long and short...

File an extension and explain the situation with evidence.

ICE Special agent lets me go?

Do what he said and leave, should be fine. If you have questions about long term impactbif leaving US on future visas talk to a lawyer.

How can include my baby's documents in my petition for alien relative after an approval letter has issued and sent to NVC?

Once the NVC opens a case and asks that you submit the DS260 information you can call and notify them and add the documents regarding the child.