Upvote:3
Will there be any issues getting the B-2 visa?
Yes, I expect you will have issues when applying for a visa for two reasons:
Therefore I'd recommend you change your plans or apply for a proper work visa, possibly sponsored by your cousin.
Can I get a B-2 (tourist visa) and still work remotely for my USA client while in USA?
Assuming you do get your visa and don't mention your job to the immigration employee at the airport, it's highly unlikely anyone will catch you in the act. But legally speaking you'll be in a gray zone, potentially violating US immigration laws.
Will I have to pay any taxes in US for the earnings I do from my employer while working remotely from USA?
Assuming you stay in the US for less than 6 months, you probably won't have to pay any taxes locally.
Is there any other visa which will be more suitable for my situation?
Yes, possibly the H-1B visa. For a full list of worker visas, see the Department of State website. You may ask a more detailed question on our sister Expats.SE website.