I don’t want to remove any of those lines, personally. Rey’s line about earning the saber actually fits in much better with the crackly effect in place.
The “I’m the spy” is very silly, but I feel like removing it feels any better. It might be difference if there were more footage to work with of Hux just standing there after shooting the troopers.
Leia’s line doesn’t make a lot of face value sense, but does (sort of) inform her role in training Rey and gives… some reason why these things are happening.