As for reporting, I can only give you a brief overview. Here is an explanation of securities registration from the Securities and Exchange Commission:
In general, securities sold in the U.S. must be registered. The registration forms companies file provide essential facts while minimizing the burden and expense of complying with the law. In general, registration forms call for:
Registration statements and prospectuses become public shortly after filing with the SEC. If filed by U.S. domestic companies, the statements are available on the EDGAR database accessible at www.sec.gov. Registration statements are subject to examination for compliance with disclosure requirements.
Not all offerings of securities must be registered with the Commission. Some exemptions from the registration requirement include:
By exempting many small offerings from the registration process, the SEC seeks to foster capital formation by lowering the cost of offering securities to the public.
There are forms that international companies have to file. Here is a link to the possible, international forms that you may have to file:
Go down to "International Business Forms, Regulations, and Rules" to find the forms that apply to you.
Your American investors will, ordinarily, have the same tax liabilities on shares in a foreign company, as they have on shares in an American company. If they are major shareholders, or you become a major shareholder in an American firm, then there are additional reporting requirements.
The same thing applies to reporting the income from your company.
As I said, this is just a brief overview. You will definitely need an American attorney who specializes in securities. The attorney will determine the specific regulations and reports that apply to you.