A company is a legal structure, not a number of people who come together. One person can form a company, or even a corporation. The bottom line though, is a company - being a legal structure - is registered (normally with a city, county or state), has a licence to operate as a business, and pays taxes (unless the business is registered as a non-profit)or reports it's income in some form or fashion.
All that being said, whether or not you actually are or have a "business" is a rather taboo subject on this forum. (Especially when you actually aren't or don't)
FROM THE WEBSITE:
Welcome to Carnage Productions! We are a indie game company that creates great games and game models!
There are other, more suitable words you could use for "company" which would better relate your present state such as group, or body.
The website looks good for a "webs" site, but it looks like every other "webs" site I've ever seen. You might try for more originality, which brings up the point of the name you chose. "Carnage Productions" has 3,490,000 returns in a Google search. Either you've become extremely popular in a very short period of time or you've chosen a name that is very much in use by many other people/companies.
Best of luck with the site and game development.
Brian.