What are the options when H1B transfer petition filed by the employer got denied?

Really now.. AVVO has never been meant as a substitute to paid consultations with lawyers.

Can I leave the country while change of status petition is being processed?

Do not file an application to COS in the USA unless can stay for the entire period while it is being processed. Currently taking 6 months average.

Will AL honor a divorce decree from SC?

Has nothing to do with immigration. Am reclassifying.

Can i submit i864 for myself and i864A from my father in law and brothe in law?

You definitely need to engage a financially qualified co-sponsor. Needs to be USC or LPR.

Time frame for application for the USA citizenships

You become eligible in exactly 4 years and 9 months from the effective date found on your GC.

I agree. If from India or neighboring countries will undergo a higher level of scrutiny.

Simply travel on your valid national passport and do not complicate an otherwise simple situation.

Travel while H1b application is pending.

Will need to file for COS on form I-539. Will take months to be processed. Best to apply for H-1B at US consulate.

Can i marry to Australian girl with pending usa asylum?

I agree. Marry her here. Do not attempt to depart the USA while asylum application still in process.

Can I move out of USA for few days while my I-765 EAD renewal application is under process? Important details below..

Yes, can travel out of the USA while your application for EAD is being processed. Will have no effect.