Can I130 application freezes my daughter age ?

It may freeze her age, particularly if you are a lawful permanent resident and this is a preference petition.

Does being out of work (out of status) for 50 days between H 1 B and H 1 B transfer severely jeopardize green card chances?

It should not, and you could also leave and return on the H1b and avoid any issues.

What does "review of your I-485 was completed"? Is a denial following this message or approval? Or could it go either way?

It could also be a request for additional evidence.

Can we re - open a dismissed case for immigration purposes ?

If she has not yet been ordered deported, it is possible for an immigration attorney to keep her here to get post conviction relief. Meanwhile you...

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Regarding HOB eligibility

If it is the equivalent to a U.S. Bachelor's then yes, and if not, then no. Try getting a credential and experience evaluation.

I need advice from lawyer about my overstayed work visa.

If you have under 180 days unlawful presence you may be eligible to adjust and also eligible to depart and consular process for your visa.

What is the chance to get a green card thought employment ?

About 80% or so.

It takes about 9 months to process an application for removal of condition. One can file for citizenship two years and nine months after receiving...

Would I be able to sponsor my illegal immigrant parents?

You can file for them, but they would need to leave the U.S. to get their visas and they may not be eligible for any waiver to allow them to return...

If I do not book an interview or pay a fee for a D S 160 form, will it expire and is this considered a denial of visa?

If the consulate takes no action at all, it is not a denial. If they request more information and it is not provided, it may indeed be deemed a...