Do I have a chance in getting my green card using the same I-130 approved 11 years ago?

Yes you can still use that I-130 that was filed and approved in 2005. Although the visa category may have changed, the I-130 approval is still...

As a J-1 Trainee from the UK working for a private company, will I be subject to the 2-year home residency requirement?

You will have to wait and see if they require the two year foreign residency.

Can I move to an employer with old petition that I never worked for?

You should ask the attorney handling your matter for either company or perhaps actually meet with a private immigration attorney in-person for...

I stayed out of US for more than a year, can i get again 6 years on H1B ? or i will have to ask my employer to start for GC

Your plan seems sufficient to have a new six year period.

Can my wife work on H4?

If you meet the requirements set forth regarding the principal's status then she, as an H-4 visa holder, may have an EAD approved.

How many days a motion take to get approve in my case? Is there any reason for my motion to not get approved?

The motion should be filed quickly. There is no set time for a decision.

There is no conflict between the two other than non-immigrant versus immigrant intent. There are two options: (1) File for the OPT first. After...

Should I file form I-751 or not doing anything as I have since became a US Citizen?

As you are now a United States citizen there is no need to file the I-751.

What papers will I need to get married if my wife is from the Cayman Islands also what papers will she need

You will both need birth certificates and if you were married before also divorce or death certificates from the prior spouse. You will need the...

After my fiance and I get married, should we file for his green card or wait. He has been coming on an H2B visa.

If you are a US citizen, after you get married and file his paperwork he will not need to leave the US but rather can stay in the US and get his...