I am Indian working in Chile. I have C1 visa already. I have applied for H1B and I got it stamped in Chile very recently. Now I want to go back to India before joining new job in US with new H1B. So when I travel from Chile to India(through USA) I will be having both C1 and new H1B(H1B never used at port of entry before as it is stamped just now).
What should I do>
If I say, C1 at port of entry as it is transit visa. Will I have any problem as I also have H1B and not using it(Will I lose it and do I need to go to US consulate again for stamping)?
If I say, H1B at port of entry and leave US the very same day , will there be any problem?