I M on H4 visa in USA and want to work in USA.

There are options. What will work best will depend on several factors. You should consult an immigration attorney directly.

Unfortunately, those options are available to US Citizens not LPRs

H1B transfer, GC filing can be started together? From 2017 how employer change process work with previously approved I-140,?

Best to work with the employer's immigration attorney to guide you on this.

I'm 38 years old my god daughter she's 2 months . She's in haiti leaving with her mom and dad . can I apply a visa for her .

there is no provision to sponsor immigrant visa for god daughter. consult an attorney to find other alternatives.

Where can i find an immigration lawyer in the West Palm Beach area?

https://www.avvo.com/find-a-lawyer to find an attorney in your area

Travel document for pending asylee; how risky is it?

It is risky but possible. Work with an attorney if you decide to travel.

Can I leave US with B1/B2 visa to near by country and come right back to US?

Canada and Mexico will not help. Best to work with an attorney to plan and execute.

Can I apply for a job at the United Nations in NY if I am an asylee/refugee in the U.S. ? Thank you!

yes you can apply for a UN position

Will I require to obtain an ETA (Electronic Travel Application) or transit visa to travel from USA to India via Canada?

I agree with my colleagues. This will require an attorney practicing Canadian immigration law.

Getting PR / Green Card after marrying a US Citizen on B2 Visa ?

It is possible but will require detailed planning and a clear strategy. Best to work with an attorney to guide you through the process.