Do I need to pay fees for I-765 ($410) and Form I-131 ($575) when filing I-485 adjustment of status?

No, it is not required. See pages 26-27 of this form: https://www.uscis.gov/sites/default/files/document/forms/i-765instr.pdf

Case stus

Yes, I have seen cases where the EAD arrived after the interview. Don't stress ... hopefully your interview went well yesterday.

Read the instructions ... do not rely on your 'source'. It isn't that difficult for him to send you a scanned photo and for you to print it on...

How I get drives license R1 visa is expired,visa extension is in process it is delay for COVID-19 ,how can I get driver license?

I believe that Mr. Smith gave you the correct reference to CA law.

Can I file for my spouse’s Green Card EAD/AP while her H4 EAD renewal is in process since Oct?

She should have filed for the EAD when she filed the I-485 .... didn't you use a lawyer? Talk to an attorney ... immediately ... to see if you...

Travelling and naturalization after arrest ?

I agree with my colleagues, the probation violation makes this quite serious. Do NOT travel ... even if there is a family emergency.

K1 Visa came to a halt. Is suing the government is the only way to get obtain my basic right to marry my fiancé?

To sue the government would be a waste of money ... be patient, you're not the only one suffering from the impact of the pandemic.

Can my child stay here while I file for her? My daughter entered the United States as an international student at 18yrs.

I agree with Mr. Smith and I suspect that you have also claimed to be from Ft. Lauderdale ... right?

Can my daughter stay here while I file for her?

It isn't necessary to repeat your question(s). Please see my response to the semi-duplicate of this one.

Can a permanent resident (green card holder) file/petition for parent?

No, only a US citizen can sponsor a parent.