First, you're definitely not too young to be doing this. I've been working in Photoshop and Illustrator since their earliest versions (I was 7 or 8 at the time), and learning the technical aspects of the software now lets you focus on being creative when the these opportunities arise.
citizenzen is right that you should be asking what makes the company unique. Logos don't always need to be based on that statement, but it can be a good starting point. Logos do, however, serve as a launching point for the brand, so you need something strong that can be repeated elsewhere. It could be the font, a colour scheme, or many other things. I've worked on many designs for companies with weak logos (which cannot be changed), and that always makes my job much, much more difficult.
Currently, the only thing the key tells you is that the company has something to do with keys. If "Anykey" is a sort of universal key, you could use a globe as a keychain...
dribbble.com is a great source for ideas, and you'll find some references for keys and other logos there. There are also plenty of design magazines on the market that can provide some inspiration.
Finally, if you decide to use a generic key design, your wordmark is much more important. If that is the case, the text should probably be larger.
PS: Most designers will agree with the others here: you should be using a sketchpad before you touch Photoshop or Illustrator.