Good to see you've got the evidence in, and congrats @loopyt on your success!
Loopyt is spot on in recommending that you send the evidence in as soon as possible, and quite right that this will also be copied to the DWP.
As regards the hearing, whilst I'm pleased that loopyt was able to be successful without attending, in general your chances of success are MASSIVELY reduced by requesting a paper hearing. Therefore it is always my advice that appellants attend if they can - I really appreciate that it is an intimidating thing to have to do, but the Tribunal won't be asking any legal questions, they'll just be fact-finding about how your condition affects you on a day to day basis. Loopyt is quite right in saying that you can change to opt for a paper hearing any time - but please don't!