How to I get full custody of my unborn child when I'm not married or living with the father?

...and consider that you are depriving your child of a father.

Did the court set it for trial? If there are no assets to be divided, why are you sending her documents that require responses? Has she done her...

You can begin by have her served with Form Interrogatories - Family Law - linked here (FL-145); https://www.courts.ca.gov/documents/fl145.pdf

You don’t have to do anything; she needs to file a Request for Order for spousal support if she makes less income than you. You could agree to...

The passport will be stamped but you will probably have to file a Request for Order to be able to see the passport.

What are the correct forms I need to file for a custody case. Paternity has been established.

Here’s the form (FL-260): https://www.courts.ca.gov/documents/fl260.pdf

Could I lose custody of a newborn based on living with parents and choosing not to work but to take care of my child?

No - he is blowing smoke. He can’t “take away your child” unless you are putting the child in harm’s way.

How can one protect her right as a mother?

No; Yes; Yes; Her call...; Not usually; Protect from what - having a relationship with it’s father?

Yes - you can file request any time

How can I find out if my ex-husband’s deceased father’s estates/assets are currently in a probate process?

You would do a search by name in the court nearest where his father lived when he died