I just purchased a home can i still sponsor my stepson

Yes. No effect.

My I-140 is approved and more than 180 days has passed since my I-485 EB-2 WW is pending. Can I be unemployed for 6 months?

You need a job. Better see an attorney right away.

Can I travel outside the US using my Advanced Parole if I am currently unemployed but my Employment Authorization Card is valid?

Tricky. If I were the admitting officer I'd give you a hard time. So no

Clarification required on H4 VISA during H1B transfer

It should be but I would wait to be safe.

I would like to request advice on my options while await a job offer. I have 4 yrs left on H1B but am on F1.

You need to weigh your pros and cons. There is not a direct answer.

Resigned on H3 Visa. Stayed 30 days after resignation. Any problem expected H1B stamping?

I think you are ok.

Can I renew my EAD (issued based on TPS) while I-140 pending?

You can renew based on the tos but not a pending 140 unless you havre also filed an 485.

You will have trouble petitioning him and then he waits over ten years to come to the us. Perhaps you should find another way.

Does my friend qualify for the new obama law?

You said she qualifies but we do not know the facts. So let's wait for the fins, announcement and see what they say. As to the dv - if it was...

I will be appearing for L2 (dependant visa) along with my kid and my Husband at chennai Consulate,

Most likely they will cancel the visa.