What exactly should I have done differently in this situation?
My entire team fed then blamed me for the loss. First thing that happened, I connected to the room first, then called mid. This Ryze calls mid as well; and insists he got it first. My team refused to say anything until last second; one of them said that I called it first. It's too late to do anything now, so we ended up having to have a duo top. (and he kept insisting during the match that I stole mid from him)
I enter the match as AP ezreal mid. I end up against an AD ezreal mid. We stale mate for a bit, and already my team starts dying in bot. I kill him then shove into his tower, then I go to roam (I couldn't take tower because no sheen and no AD). I catch the enemy jax doing dragon, I kill him and steal dragon. Then I continue to bot and kill their adc. The support escapes, so I recall and go mid with my new Sheen + (the other lichbane piece).
Jax starts camping mid, so I can't over push. I keep poking down the two of them, but because I lack crowed clear; it starts shoving into my tower. I ping for help, no one can come because we have no jungler (not that there is any reason our top laning Shaco couldn't have come).
Jax dives me, I arcane shift out of his dive and kill the ezreal. Jax manages to kill me. He's low, but since we have no jungler he starts hammering my tower knowing full well there is nothing anyone can do about it. Tower is gone before I even respawn.
I come back mid and push it a bit, I don't want to over push because I know I will get ganked by the Jax and Ezreal. So I go back to bot which is again, having trouble. At this point I am literally the only one with kills. Jax and Ezreal start pushing into the second tower while I am busy in an intense match in bot. I could not recall, and even if I did they would have done the exact same thing they did earlier and traded 1 to kill me, and the other would have finished the tower; so I decide to stay a bit longer and kill both the support and adc, but I die. Instead of taking their tower, my team recalls to defend mid (all 4 of them); and starts bitching that I lost it. (mean while both top and bot get lost while they are busy fighting jax and ezreal)
By the end of the match everyone on both teams was saying that I sucked and that my team lost because I lost mid. If I didn't leave mid we would have lost it anyways because they can just shove it into tower repeatedly and I would fall behind in CS because of no crowd control and the tower would have gone down over time. Meanwhile bot would have been lost as well.
The enemy jax said that my team would have caught up if I held mid; the same team that didn't make a single kill the entire match. They didn't even so much as complete an item (I had lichbane, sorcerer boots, and the two parts of a rabadons). They didn't even get very many assists either, as I had to kill people myself.