this is just anectodotal advice at best and im not much of a guitar player, but: for me, playing quickly it helps to have a thin pick like your takling about, also your wrist has to be really loose, it helps to make sure only ur thumb and first finger are "bent", the rest of ur fingers shud sort of be sticking out, if theyre curled it in creates "undue" tension in your wrist or so ive heard... also for me it helps alot to think about the note, that sounds dumb but it helps me when like think of this type thing, there is 2 sixteeth notes on the low E string, then back to eighth note chords... if i dont think about playing the chords after the sixteeth notes, there will be a very unpleasant pause in between as i try to "refigure" the rhythm in my head... it sounds dumb i know but when you start playing quickly if u dont think to the next note quickly enough there will always be funny pauses that mess u all up :/
hope this was of som ehelp :/ also helps to just use the tip of the pick and keep it angled i guess and try not to push thru the strings play the tops of them. thats the typical advice