I hate to put a dampner on your enthusiasm buddy, but you really need to know your boundaries.
Registering a game company, and getting it trademarked, is the least of your concerns.
For starters, you need a game idea; as an independent developer, I can tell you know that there is no way you'd be able to compete on the console retail market. That leaves you with two main avenues: PC game development (almost as hard as console retail to get published, so you're looking at internet distribution; where it is very, very hard to get noticed) and Xbox Live Arcade development for the 360.
To create a game that is enjoyable in any way shape or form, you need to master C++/C# and be working with DirectX. "Various Blitz languages" and a "Cool Edit Pro" trial won't cut it.
Simple truth: if you want to make a 3D game, you need a development team. Game design is multi-faceted and complex, and is far too much for one person to do on their own. By the time you completed everything, something would be outmoded.
To create a professional game, the tools you need include, but are not limited to:
Visual Studio 2005 Professional
3D Studio MAX or Maya
The combination of which will cost you several thousand dollars.
If I were you, i'd forget about starting a company for now, and concentrate on learning about the industry and how to make games. A good place to start is an excellent free tool that Microsoft has released that has the exact same functionality as Visual Studio, except it only supports the C# language (which is all you need for most modern games, anyway).
The first thing you'll need is Visual C# Express (
http://msdn.microsoft.com/vstudio/express/visualcsharp/), which is a slim-downed functionality version of Visual Studio 2005. After that, install XNA Game Studio Express (
http://msdn.microsoft.com/directx/xna/gse/), which is a collection of tools to develop games for the XNA platform.
XNA is the platform used in PC games with DirectX 10, and in the Xbox 360. The same tools in the program being offered above for free are what real Xbox 360 developers use to create their games.
I'd highly suggest downloading these programs, and running through the various tutorials included with the program and online at MSDN. Coding4fun (
http://msdn.microsoft.com/coding4fun/) is an excellent place to start.
Good luck, but remember to start small. You need to learn how to walk before you can run.