I am reviewing the offer and have a few concerns. First, the offer indicates twice that this work for the vendor will be your exclusive employment, so you would not typically be able to work for another employer during the term of your employment with this company.
Second, the offer indicates that the company may terminate your employment at any time and require you to return to India, while you are prohibited from terminating your employment until the project is finished. This is very one-sided and may make the employment agreement unenforceable since the company is not bound to anything since it can terminate the agreement at any time.
They could also seek damages against you if you leave early, which could be substantial, and the company requires you to indemnify them if they are held liable for any act or omission on your part, which could be substantial as well.
There does not appear to be a non-compete provision following your employment, but you would typically be prohibited from working for another company while you are employed with this company and you cannot leave them for other employment until your assigned project is completed.
I would not typically agree to these provisions as written. At a minimum, I would require that the company agree that they cannot terminate you prior to completing the project except for good cause and, if you wish to work for another company while employed by them, they expressly agree to that employment.
I hope this helps clarify the situation for you. Please remember to rate my service once you have all the information you need so I will be compensated for my time from the deposit you posted with this website. If you have any other questions, please ask me – I’ll be happy to respond. Thank you!