Can J1 overstayed visa be deported after giving birth?

Yes you can. You should leave the US as soon as possible in order not to incur potential bars to re-entry, depending upon how long you have...

Not unless it was a fraudulent marriage. Get legal advice on this before proceeding.

If you applied for it, yes, you are the bearer.

L2-EAD Visa holder working a part time job and work as self employed

As long as you have a valid EAD and SS# and are filing taxes, this is permissible. It will not affect your husband's petition by his employer.

Will immigration deny your k 1 fiancee Visa if the birth date on your birth certificate is different from your divorce papers?

If you can prove you tried to correct it and were unable to, this should not be fatal. However, whether for a fiancé visa or through I-130...

Starting business on H4 EAD and obtained EFIN, EAD expired and applied for H4/H4 EAD during this time can the company run?

Your question is unclear. You started a business for your spouse or yourself? Then they need employment authorization.

Can my wife Sponsor her mother for i-30 and dose i-864 even she is not working?

Your wife sponsors and you can be the co-sponsor with Form I-864A

I AM STILL WAITING ON OATH CEREMONY FROM SEP 25TH 2018 THEY SEND ME LATER 3RD TIME THAT GOING TO HAPPEND IN 90 DAYS

You have three choices: wait, make an Infopass appointment to find out what is going on, or contact your local Congressman to see if they can...

Is my employer can cancel my B1/B2 visa if i will leave them but i still stay here in US?

You should not be working on a B-1/B-2 visa. So there should not even be an employer.

When you received a traffic ticket, you were "detained" so you must report them on your N-400.