Advise on Moving to N400 Application Fast Processing State?

A background check will be done and as long as your moving fulfills residency requirements and is not attributable to something showing moral...

I am valid H1 visa holder. I wanted to apply for H4 dependent visa for my daughter who is already having F1 student, shall I?

Your daughter is eligible for H-4 status, and if accorded the same, and can attend school as an H-4 visa holder. There is not requirement that she...

Sir can you explain this once please?

As long as you are in valid F-2 status when you apply for H-4, you will be alright.

Can I work for 2 employers on H1B visa ?

Your positions can overlap as long as the approval period for each covers the overlap. This poses no problem related to your green card.

Yes since blood and urine are both tested.

You can respond to the biometrics to reschedule as provided on the form and explain you have moved and provide proof of your having filed an...

Working for two companies simultaneously on H1B visa

As long as you are approved to still work for employer A, there is no problem.

Nothing bad. It means that your petition is being held until there is a visa number available for further processing.

You can start your naturalization process while petitioning for your daughter. If her I-130 is still in process when you become a US citizen, it...

Read your I-797A. It is not a visa nor may it be used in place of a visa. You must get the H-1B visa stamp in your passport to enter the US.