They no longer email chat logs to players anymore, they are only available through the in-client Reform Card, or by submitting a ticket to Player Support. In the past, they would email them at the time a punishment was issued, but that was before they had the IFS set up, and while it was in it's earlier stages. Now, there's not really a reason to bother with emailing them out.
The easiest way to post screenshots on the forums is by uploading the files to an image hosting site, like imgur, gyazo, photobucket, or a similar file-sharing site that allows you to directly hotlink. From there, you just post the link in a comment. I personally use imgur and photobucket, so they are the ones I am most familiar with. Both of them allow you to create albums containing multiple images, which can be helpful when you are posting 3+ images to show all of the logs. You can then post the individual image links into the body of a comment, or, you can post the link to the album. When you are creating the original thread post, it gives you the option to add an image link as well. It's been a very long time since I created a thread, so I'm not sure if it lets you go back in and edit in an image link to the original post, but you can add in links as part of the body even if you can't edit it in as the link that displays on the search page.
Jo0o is probably right about what happened with this punishment. It was likely the other two matches that led primarily to your punishment, but there were things in this match that don't necessarily look too good.
Going afk makes it harder on your team, as it automatically puts them in a 4v5. If your ping is unstable, it might be faster for you to try and simply log out and back in, to try and see if that fixes the problem. Most players will understand if you simply tell them that you're having really weird ping issues, and that you're going to quickly relog. Just ask them to play safe for a minute, and tell them you'll be ganking as soon as you get back. It's a very minor thing, and going afk isn't going to get someone banned for toxicity, but it is the sort of thing that will cause strife within a team if you don't work on damage control as soon as you realize what is happening. I see this sort of thing all the time. My duo partner actually has this happen sometimes once during my promos! He was gone for over 5 minutes, and my team was getting really, really upset. But, as long as you do a little bit of sucking up, and go out of your way to be extra nice in those matches, you can usually stop people from flipping out and going off into a full on flame war.
The main thing that I think probably went against you in the match though was taunting the zed with being banned. It's definitely not the worst thing I've ever seen, and me personally, I wouldn't have reported you for just that, but it's pretty bm. It's just not a good idea to threaten people with reports or bans. None of us are perfect, and everyone says something a little snide from time to time. Karma has a way of catching up to us (E-W-R+Q usually) and when it does, it tends to leave players subjected to the same punishments that they taunt other players with.
Something else to keep in mind, the Reform Card shows a selection of recent games that you were reported in, and that the IFS found to contain some amount of negativity or toxicity. That doesn't mean that all the matches are equally toxic, or that you were reported the same amount in all of them. Some matches can be very, very mild compared to others. They are simply included as an example to the player of behaviors that were reported by their teammates/opponents as being offensive.
One last thing, about the possible group reporting. Just to clear something up, since I see that Cream Reaper has already posted the quote from Riot Tantram about how the IFS reads reports, but he didn't go into much detail about it. Multiples reports don't do anything. It's actually useless to ask for reports. The IFS reviews every single report that is submitted, so all it ever takes is one. Having 9 reports in a match doesn't make them mysteriously stronger, it doesn't give them any more weight, and it doesn't make your punishment any worse. If a player doesn't do anything wrong, but gets reported by 9 people, all 9 of those reports are going to be tossed out as being false.
