Twitch account locked forever?

I had rolled around in a hot tub stream and wanted to see when you can get a timeout or chatbanned and then I went out for a bit and wanted to go back to twitch but then I was logged out

Am I only suspended or banned forever and if so, where can I submit a request for suspension?

You must have received an email from Twitch. Check it out there. If not then click on "this article" it will be there. If you are not satisfied with the decision, you can write to support. Maybe you are lucky and don't get a Perma Ban.