Never add/remove mods from a game in progress. Modding in skyrim is a bit buggy, and removing/adding mods during gameplay fucks up a lot of the scripts that run in the background.
So if you add mod, start over from the beginning. If you remove one, do the same.
Yes, this is very annoying. But sadly that is the only way to keep your games from not being corrupted.
But the important lesson. NEVER add or remove mods to a running game. (as far as I heard it still can crash even with all the additional tools and steps. It is best to not change mods, to keep your save clean).
Call Odahviing to Dragonsreach
First of all, I don't think this is a quest item. I think you mean this as a step in the fallen quest. If this is what you mean.
You could try to use console commands to force the quest to the next step. Look at the quest stages and advance the quest to the last one. You will miss out on some stuff, like the dialogue, and there is a chance that the next quest does not activate properly. But this is what you could try.
Disk space
One possible problem for save corruption is running out of diskspace during playing. Happened to me once. So make sure you have enough space on the disk where the saves get stored. (Default is your 'My games' directory).
Related question
This question has been asked before, see : how-to-fix-corrupted-save-files-in-skyrim
Teleport command
See this question: What is the proper teleport command in Skyrim?
Best Answer
Yes - it is in the PC version. I have seen 2 replays (one of which, the ball wasn't even close to the line) - and I've been playing mostly pro career mode (although I have done a fair bit of manager mode too - but not seen it here) over 150 hours. My player is currently playing in the EPL and that's when the replays occurred.
I think it may be more prevalent, but I usually skip replays (and goal line tech is not an instant review).