It does mean your case is in progress. You only need to be patient.

Regarding H1B visa duration in USA

The fact pattern you are advancing is highly complex and requires you to consult in private with an experienced immigration lawyer

Change j1 toH1b

The fact pattern you are advancing is highly complex and requires you to consult in private with an experienced immigration lawyer

Can DSO change F-1 "out of status" to "in status" if "out of status" reported by mistake?

Yes DSO of current school can correct his/her own mistake.

You should consider calling an attorney for a consultation.

I recently changed by name through the court in my state. I am a naturalized citizen.

Present your certificate of naturalization along with the court order changing your name.

No case update for I-485 filed

USCIS is currently handling cases form February 2015, so it should not be much longer.

Can I apply for H1-B visa lottery through my employer when I am working on CPT?

Your employer can apply for the H1B visa on your behalf. You should contact your employer's attorney if you have further questions regarding the...

Is it possible to work on h1b for-profit company when on h1b non - profit visa? Does valid i140 helps?

An H1B visa is job specific so you would not be able to use your current visa.

Will there be any problems while renewing my green card?

There should not be any problems. You could also consider filing for your citizenship. Good luck.