I have granted asylum on December 19th 2012 and I applied for My green card and travel document on December 2013.

Would've been best to travel with the travel document in hand but, since it's too late, you have to wait for it to be approved.

Divorce decree has foreign address while I live in U.S. How will it affect K1 application?

That should not be an issue as long as the divorce was validly obtained.

Staying in the US on a holiday after cruise contract is over, on a B2 Visa.

I agree with my colleagues. The C-1/D visas are a bit more restrictive.

Getting I551 Stamp on Passport after I751 Filing

The local office in Fairfax likely won't give you a stamp unless your extension letter has expired (after 1 year). The letter and your passport...

I'm a US Citizen and would like to petition my husband who is currently here in the US without him having to leave for 10 years?

A provisional waiver is the way to go. The strength of the waiver case depends on factors unique to you and your marriage.

Why my I-129L Filed for L1-A petition was rejected just 1 day?

No idea! You'll find out soon enough, though.

As my colleague mentioned, an H-4 visa *may* be an option.

What forms need to submit for waiver of ineligibility for section 2A1 and 92A?

You may need a 212(h) waiver. Consult with an immigration attorney.

I am 6months and 16days outside the US. Is my 6month period no longer valid.

If that trip is during your "statutory period", then it may cause problems for a Naturalization application. Consult with an immigration attorney.

Can my siblings migrate with my parents?

Unfortunately, no. I agree with my colleagues.