Visiting home country - Do I need to go for visa stamping interview?

Not if the one you currently have is valid!

L1B to EB1C green card filing!

You will need to meet the requirements of the petition, and have an attorney analyze your job descriptions for you in detail. Us telling you yes...

Any success in getting h1 extension beyond 6 yrs with just the DOL PERM status screenshot? (for a pending perm)

You should be ok to file - if there is a problem they will send you an RFE!

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I'm a U.S. citizen, married to a brazilian, she is 10 weeks pregnant and we wanted to have our baby in the USA.

This is a very sensitive matter. You need to seek the advice of an attorney and get pros and cons of the entire situation. There are many things...

I have a j1 visa for two months now.Can i change status?and how soon?

A B-1 for volunteer work? I am thinking you need to go home. Any B-1 work needs to be related to your job or work back home for the most part.

Do I qualify fro the exemption cap H1B?

I think so -but I did not look at the job description. I think you should talk to an attorney in person.

How to obtain my residency ?

You have not given enough information to answer your question. Best to see a lawyer on this one.

Have Valid H1b stamp ,H1b Transfer pending with RFE and Need to travel to home country?

Worst case is that you abandon your status! You need to have an attorney look at all this. Basically if you are still with co. A you should be OK...

Invitation letter for a tourist visa for brother and mother ? What evidence do I need to give to the consuler?

The more you put in the package the better. Atlest tax returns, letter of employment and pay stubs.

You can correct it at the interview with the officer. No need to withdraw.