Not necessary if current H4 and EAD are valid.

Congratulations! There is nothing else to do than wait for the PRC. That will arrive in about 3 weeks, maybe sooner.

USCIS look at the totality of circumstances. One defect per se, forgetting to sign a birth certificate would not have an adverse impact on outcome...

In general, some of your lawyer's counsel may be true.

Mandamus is a great option. Ask your lawyer about suggestions, including but not immitted to, payment plans, among others.

There is no immigration question/issue in your statement. I have transferred you to others that may help.

Your new lawyer must file a G28 ASAP and take over the entire process.

You don't have an immigration question or issue. I have transferred you to attorney(s) that may help.

The US departure of your parents, with a timely and accurately filed TPS application pending, does not trigger unlawful presence. An immigration...

It depends on geographical location and composition of household.