Im married my spouse accepted my 6 month old at the time as his daugter but not on paper

It is impossible to tell how this is even an immigration question.

Can I join new employer with approved petition, while current H1 transfer is in RFE

You should discuss this question with the multiple immigration attorneys that already represent your employers.

My L1-B visa is getting expired in first week of July 2014 and same is I-94. My company is applying for an extension.

It can take several months; less with premium processing.

What exactly does Legal Opinion (Memo) letter say? It will be addressed to a visa officer at a consulate outside US to get

Consult with an immigration attorney and discuss the nature of your arrest to learn what, "exactly" the lawyer might state in an opinion letter.

Yes, the "hit" will always show up on your fingerprints.

2014 H1b Visa file rejected, How can I appeal? Is it worth? I have my old H1b approval notice which i got 2009 sep.

If you were outside of the US for more than one year, the previous approval would not have benefited you.

Can I file cap-exempt for a H1B visa today and avoid waiting till April 1 for a new H1B filing?

A cap-exempt petition could file an H-1B petition on your behalf at any time.

I have a friend who applied for an F1 visa but was denied primarily due to funds. He wants to visit but his ESTA has been denied

If a person is likely to become a public charge, he can be found inadmissible to the US, which is apparently what happened here.

Can I file divorce on F1 & F2 Visa in USA as I am in the middle of my career and wont have time to attend procedure back home ?

You can file for divorce in California as long as you meet the residency requirements for the State and county court to take jurisdiction.

I have been refused my f1 visa because of my previous grades. (I was attending a college and I have been out of status.)

You have to be admitted to a US school and issued an I-20 to apply for a new F-1 visa.