I was thinking of using LWJGL but this is the only license info I could find. Doesn't look too free.

I've released games that use LWJGL before, that weren't open source and such. I usually either use Java Web Start and JNLP files or an applet loader that they wrote that both download all the required LWJGL jars to the cache if they're not present and update your own code if there's a new version to the cache before launching. The jars are on my webserver and signed by myself which is ok apparently. Otherwise I have no other means of distributing the LWJGL jars.

TL;DR I'm clueless when it comes to legal stuff and was wondering if I'd be breaking any rules. Sorry if this has been asked before.