Yes, I have the same exact (softwarewise) Toshiba. I bought it new and then Minecraft ran out of memory. As mine did, your computer probably came with 32 bit Java instead of 64. Try downloading 64 bit Java, and the memory problem should go away.
Welcome to Planet Minecraft! Please read the [Site, Forum, and Chat rules and FAQs, it will help you out a lot. Sorry that you cannot be on a server anymore! Good luck finding another!
