Should I renew passport before applying for H4 and H4 EAD along with H1B transfer?

Yes, it would be best to renew your passport first.

Would it be a better option to Withdraw from an N400 Application due to the criminal case not being settled?

You need to be more specific as to your drug charges.

H1B expiry is 12/31/2023 and I94 expiry is printed as 01/10/2023 in I797A, how to correct it?

It is not a clerical mistake ... CIS grants a 10 day 'departure' period.

Can my wife's H4 COS be withdrawn if I-485 is filed and pending?

I agree with my colleagues ... she should not withdraw the COS papers.

My kids are born in the USA and right now living with me. When I fill up I-864 where do I include them?

Your facts are a bit confusing. Are you the petitioner? Are you aware of the requirement that you have a domicile in the US.

The CIS website rarely contains accurate information ... which is why we rarely look at it. All you can do is be patient and wait.

Dear I have B1/B2 visa and my last trip when immigration officer give me entry for 1 month

Yes, you should be able to board a plane and request a SHORT entry.

We need more details as to what happened at the airport.

Should the H4 COS be re-applied while applying for H1B visa holder's extension?

Yes, you should consider another H-4 extension application as the currently pending one will be 'tied' to your old/current H-1B.

Can I travel with my parole without having trouble of going back here in America?

In my opinion, it is NOT SAFE for you to travel. Talk to an attorney via Skype and have him/her review your history.