No, they are not automatically put in removal proceedings.

US Citizenship for children

Whatever you submitted that got them their green cards should also suffice for their N-600's.

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Do you know by any chance that how long immigration keeps the arrival/departure record?

They are supposed to keep in permanently.

Are EB-5 investments restricted in certain industries?

There is no restriction.

If a country is designated under "TPS" would there be a consequences to the leader or president of the country hosted by US?

The consequence would be that the U.S. administration would consider the request and grant or deny it.

Student visa after visitor visa

Simply put, you should not come to the U.S. on a tourist visa with intent to change to a student visa.

Petition for Relatives and K-1 Fiancee Visa.

Agreed with my colleagues. You can file for her. Her fiancé can file for her. In either order. Just be aware the fiancé visa would be processed...

Any immigration options

There are many good attorneys in Michigan who do criminal defense and immigration law. Whether you have options depends on precisely the offense...

I am a Syrian f1 have applied for TPS but not yet granted . Could I ask to paying resident Student tuition fees?

There is no immigration law that tells the school what fees you have to pay. Contact your school and ask them.

What to do for failure to meet Judge date for defensive driving due to awaiting result for immigration petition

Request CIS to expedite the EAD. Ask a criminal defense attorney what to do in traffic court [or hire one to help you].