Hello, Im traveling to Los Angeles on B1/B2 Visa on June 25 2015. Can I open bank account using this visa ?

Most banks will permit this. They may ask you to obtain an ITIN.

H4 to EAD , is there any Quota limit on this or time limit ?

No deadline or quota currently. You still remain on H-4 status you aren't changing to EAD -- you will be an H-4 with an EAD.

Can I still pursue my Asylum application at Immigration Court?

That is something you need to evaluate with your attorney. There are many factors to consider including the strength of your asylum case, other...

Can I have option to transfer revoked H1B petition to different employer?

There are some facts missing but if revoked you have no basis to remain here. Was this an amendment to an existing petition that is still in place...

I-485 Employment Letter Issue

That is preferred or else the letter should be notarized but i may be OK

I would do both but the new case should be for a slightly different position, new PW etc. Make sure all recruitment and the ETA()*( are identical...

Passport/name change and COS?

Use the correct name on the documents and add an addendum to the forms explaining the name situation as you have.

Can a conditional green card holder petition for the green card of her children under 21 years of age?

She can petition now or if the children are under 18 the USC spouse can petition for them as immediate relative stepchildren.

Which addresses do i need to write on the form?? All of them of just the one uscis has?? Or send 3 diffrent AR-11 forms? Thank u

I would file them online -- all three starting with the oldest one and print out a PDF for each one to keep in your files.

I concur with Tripti. The only way to do this legally is to petition for a concurrent H-1B (can be part-time) with Udemy.