tl;dr: give us clips of you playing bad. We can't tell what your mistakes are if you don't show them to us.
Honestly, it's really hard to tell what you need to improve on from just the clips you provided. They've been edited to show what I assume are highlights. This basically means that we see you playing right and the enemy playing wrong so it's hard to actually give you great feedback since I don't know your mistakes. Also, mistakes tend to be made well before fights, so give us full games. I'd bet that there's more interesting feedback to give if I watch you just taking camps in your jungle than watching an actual team fight oddly enough. In any case, let me try a little:
That said, I think there's something more important that your map awareness. Map awareness in a team fight is something that's hard even for diamond players, so that isn't what you need to focus on. In saint's video, they show a d5 player who had the same problems in a team fight. However, the first thing you should do after a team fight is look at the minimap (first clip you don't do this). Look for the closest objective you can take. If there is not physical one, go for vision in the enemy's area (which might be your jungle if you've been pushed into your base).
Clip 2, you don't use your ult at all. This was ok here since you won, but there is no reason to save it here at all. You will have it up for the next fight almost guaranteed. Don't hesitate to use skills. This also sort of leads into the next point.
I will say that your target selection is sometimes a little awkward. In both clip 2, your attention is not staying with the right target. In clip 2, the moment quinn got in range, you needed to ult her. If lux hadn't hit that binding, you would have lost an easy kill there which could be the difference between getting an objective and not. This might have also happened in clip 3 depending on the strength of the darius but I can't tell based on just the clip.
Clip 3 and 4 don't really say too much. In clip 4, you might want to have just held your q a little more to see where vayne's gonna tumble, but that's a pretty minor detail. Hold your spells for more guaranteed cc's if you know that you can get better angles over time.
Clip 5 you again don't use ult. Also, feed kills to your mid laner if you think they are at all competent. They tend to be the biggest carries in the game. That's how I like to play this game, but i know other jungler who would disagree with this one.
Last clip is just a wut fest. Vi and lux come in after talon does an assassination which basically shouldn't happen. Enemy vi ults in after fight is clearly lost and there is no way she can pick up anything with her build (I doubt she could have even killed poppy). Only possible thing to improve here might be the time at which you notice lux reentering the fight. I also don't think you needed to ult Vi in this case since she was guaranteed dead without it. You could then use it on lux if she came back since that's a much higher priority for you than a no damage vi. This is a little counter to what I said before, I know, but using spells is a complicated process that improves a little with experience. Just try to hold spells if you think that they'll be more useful later in the fight. But if you're fight is almost over, then just unload.