You have made some great points that i also share with you!
Getting to know your team and the way they play is so useful I do feel the simplest way would be the points based system for acuracy its the damage that matters and the kill goes to the team it promotes honest game play and postive freindship building and all that good stuff when you put a kill into the mix it become a bit selfish not good vibes and would love this to change as its creating a real postive healthy culture .
being also rewarded for getting a perfect like boost to your equipment would be great as you could chain kills and make use of thos amazing medals that i never make use of lol
You could also have who you put the most damage on which is equal to a kill or even better i think