It is only how the coins are generated where I am still trying to understand. From your response, this adds more knowledge in setting the difficulty in generating blocks.
You are the only one that can mine your new coin. As mentioned above, you could lower the difficulty and just plug in your computer to mine as many coins as you like before releasing the software to the public. I don't know if that is how pre-mining is done in general, but you can surely do that.