Double post, sorry! But, I have an update.
So today, I was going to test Blockland on the computers, but I did not have the necessary launch files to do so. However, I had the Next Car Game's files on the USB from a sleepover I did a few days ago. I loaded that up on the computer, played on lowest graphics. And guess what, it worked. Laggy, but it worked. And to make matters better than game takes a hell of a computer to run the game, go look at gameplay or something.
This means that the school computers, especially in the computer lab we're using, as loving stuffty as they are, WILL run Blockland atleast on no shaders at all.
Another note is that this will be on tomorrow at school! I'll bring fraps and I'll take some pictures, and I'll be making a video later on so me, and the teacher and maybe even the students can look back at this fabulous moment. So far, I've only got a few segments of the build to finish, all of which are very quick to complete. I will definitely look into running a server of such a genre, but with less questions and more explosions, publicly afterwards within a week.