Can my new employer transfer my H1b visa

There is no such thing as "transfer" for H1B. Your new employer will need to file a new H1B application. He can do it while amendment is pending.

Is it possible to lose the green card if i apply for citizenship fee waiver?

No, the purpose of the fee waiver is to provide assistance to the people without income. You may lose your green card in naturalization process,...

Of course, if your child is enrolled to a school in the US, s/he can apply for a student visa. The issue is that F1 visa usually does not imply any...

I am on a H1B visa since October 2013, what is the process to change job to get a new H1B and apply for Green Card?

There are many components in your question, each of them needs to be addressed separately. First of all, there is no specific time period required...

It is impossible to answer without seeing your original submission, but generally you need to add a letter of employment.

I'm currently on H1b visa, Can I invest upto 90% in my friend's(he is having GC) startup company.

Yes, you can invest, but you cannot work for the company and receive any renumeration for your services.

Are applicants under age of 14 exempt from biometrics (photographs/fingerprinting) when applying for I-131 reentry permits?

They will need photographs, but not the fingerprints.

Got Economic hardship employment Authorization card on F1 Visa

If you are done with the school, you should either leave the country or change your status to the one that will allow you to stay. Your EAD has...

This is way to complicated and fact-specific question to be discussed in the open forum. First of all, you already may be out of status and...

Valid Green Card, but not yet moved permanently to the US. How much time do I have ?

You may lose your green card if you do not reside in the U.S. permanently. If you anticipate prolonged visit abroad, apply for permission to...