Re: sailing documents
"would the US official make any problems about leaving the US with"
A nice guy might warn you that your destination might want more, or turn you back. Just as a nice guy might warn you that you'll have trouble getting your new Rolex and Nikon back into the US unless you record their serial numbers before you leave.
But (pop quiz!) "Life, liberty, and the pursuit of happiness" has been traditionally upheld as the law in the US, meaning, unlike the Hotel California, you can check out any time you like. Any way you like. As long as your bills are paid up.
Which is why there's no zarpe required to exit the US, and why that's such a rare thing.