@Shine1312 , one of us can only address the tax implications of working and earning.
(a) As a US person ( Citizen/GreenCard), you are taxed by the USA on your world income, no matter where and how earned.
(b) AS you perhaps know that for purposes of US taxes , US does not recognize any other citizenship and essentially its tax laws apply to you in isolation.
(c) If India taxes you on your income then there is possibility of Foreign Earned Income exclusion or Foreign Tax credit / Deduction -- which ever works out best for you. A point to note is that if India taxes you on income from USA then for purposes of Foreign Tax Credit , you have to do a treaty based resourcing of the income -- to ameliorate the effects of double taxation.
Side bar -- there is no restriction to any US entity from employing you --- because you are US citizen.
Is there more I can do for you ?
Namaste
pk
