Hi, I live in USA and am currently on h4 visa. I am planning on doing J.d from USA.

Not high unless you graduate from your school with very good grade.

H1-H4-H1 Conversion. Can I work on receipt of application or need to wait until approval?

You can't work while your H-1B petition is pending.

Permanent residence

I agree with my colleague, you should be able to adjust your status as long as you can provide a proof that you entered the U.S. legally.

H1B Visa stamping in India with DUI arrest and reduced to Reckless Driving.Planning to go to India in Nov 2012

I agree with my colleague. On DS160, you have to disclose your arrest.

Is it right of my company GC immigration lawyer to insist on their own verbeage for prior-employment verification letters.

Your attorney is trying to secure the best result for you. Regarding mm/dd/YYYY issue, your attorney is right.

I'm a J-1 exchange visitor subject to the 2-year foreign residence requirement under INA 212(e), My VAWA application was granted

Your waiver application must be approved before you file your I-485.

My J-1 expires in 3 weeks but I have no two-year requirement, can I switch to a tourist visa or student visa

You could change your status to B or F.

B&W is fine as long as they are legible.

Using H1B visa on which I never ever travelled

USCIS approved the employer A's petition; thus, you are cap exempted. However, you also need to make sure that USCIS did not revoke your H-1B when...

H1b transfer to another employer when the H1b case status is in RFE?

USCIS has to approve the employer A's H1b petition before USCIS approve the employer B's transfer petition. More likely, you're going to get an RFE...