Unable to Connect to Instance

I am running the free t2.micro instance. Since last night I have been unable to connect to the instance using any method. I've tried using PuTTY, FileZilla, and the built-in console, but none work. My dashboard says the server is online and connectable though. I can't ask support directly because of the aforementioned free tier. What should I do? I at least need to connect with FileZilla and backup my server data before wiping the instance, but I'd prefer to not do that. Nothing was changed on the server before I was kicked off it.