Can my employer ask for census info?

Employer can not ask for the explicit information that you have stated for I-9 purposes.

I am filing a I-765 form and I need to know what Eligibility Category to enter.

It is (c) (9) if your are filing for adjustment if status based on a petition (I-130) filed by your immediate relative.

Is COS possible from H-1B to H-4 after 01Oct15 for 6 months vacation and then COS back to H-1B from H-4 after the vacation?

You must first occupy the H-1B after October 1, 2015 before you change status to the H-4.

Am I subject to the H1b cap?

Your H – 1B was not approved within the past six years. You are subject to the cap.

CSPA For F4 Category

The NVC will determine whether the CSPA is applicable.

Why would you apply for the DV lottery when you are currently a conditional resident?

Our priority date is current what's next please ?

Your husband can adjust status if he is in lawful status and the priority date is current.

Hi I applied for H1b thid year but din't receive receipt notice of mine still.

Apparently, you are being guided by your employer and an attorney. You should contact that attorney for information.

NY state penalties on speeding ticket for foreign drivers license.

This is not an immigration question .

Hello, I was in US for 4.4 years (FEB'11 - MAY'15) on L1B. Can I apply new L1b in India again by SEP'15 ?

I recommend that you discuss your strategy with your employer.