Writing Research Paper As Fast As Possible

1. overview of each paper. main arguments. give yourself 15-20 minutes to create this structure, outline. (15-20 minutes per paper). USE notes. I prefer pen & paper for initial drafts of things.
   That will give you skeletons and you will be able to pay attention to one, because you will feel more at ease on focusing on one.
2. pick the biggest or easiest or scariest paper or the most important (whatever motivates you the most). give yourself 30-40 minutes, develop arguments/structure further. throw down some notes, again.
3. transcribe those arguments to computer. give yourself again a deadline 30-40 minutes, fill out the blanks with filler.

Take breaks every 40 minutes. just 10-15 minutes, pacing around, maybe reading something BUT NO INTERNET or any other thing that can distract.

Rinse and repeat for other papers.
Get some sleep. Wake up 2 hours or so before deadline to do last check on papers, editing it.

You can use progress bar. Like I usually draw just big squares for each paragraph / argument / paragraph of paper (or even just paperes themselves) and whenever you complete it, you color it to see the progress visually.
and, yeah, better not to get into this situation in the future because it's too hardcore. But do NOT bash on yourself right now because all your energy must be on task at hand

Deadlines / time limites can help to stay only in the part of the thing that you need (if it's 30 min for organising research, then when timer is over, you go and do other type of the job, like writing, etc).
Basically, treat it as lego puzzle but within timed boxes. Discrete tasks --> time allocated --> do whatever you can in this time and move on to the next discrete task