Parental support and approval should be encouraged in your nephews' applications for tourist visas.

A FOIA may not show the reason for the denials. You may apply again. Before applying the second, request to speak to officials at the US embassy to...

As a USC you may file I130 abroad. However, the I-864, a supporting application for I1485 must be filed in the US. I hope this helps.

It is difficult to project. Using your specific application receipt number, you may check your processing times on USCIS website.

You may not loose green card if you are divorced.

As a green card holder, you may work any number of jobs.

I'm unable to identify any immigration issue in your question. I am transferring your question to a different section.

According to July visa bulletin, it appears your PD is current for India Employment based 2nd Preference, to file for AOS. Cutoff date 01April19.

CR1 is visa designation for marriage, less than 2 years, at consular processing. For AOS in the US, same application visa is designated CR6....

A visitor's visa for medical treatment with supporting documents may be filed.