Unfortunately I have no good news for you regarding this issue.
In late April 2019 an excess multitude of bans went out for "violation (GAMEHACK) #83018", for a LOT of people.
You can appeal to EvenBalance until the cows come home, you'll get most copy-pasta responses and if you pester them enough you may get a human reply, but ultimately it won't really be of much use as they just look at the code and you're branded, no individual assistance will proceed and certainly not any that takes time. You won't hear about what program caused the flag to prevent future issues arising or anything that would help.
They are under the firm belief that their system is flawless (even after instances in 2018 banwave), and unfortunately you will ultimately be given the option of "Buy another copy" and that's it.
Here are a couple of threads with some really good information from USMCss07:-
https://answers.ea.com/t5/Battlefield-4/Battlelog-Launching-Issue-Origin/m-p/7842387#M231526
https://answers.ea.com/t5/Battlefield-4/kicked-from-punkbuster-gamehack/m-p/8056221#M232317
Searching for similar instances comes up with many posts about sudden bans, and yes while many guilty people out there are liable to cry wolf, there are many innocent people out there that have been ignored. And it's a huge shame.
In my opinion, EA could've done more, but ultimately EvenBalance is a 3rd party company that likely had anymore incoming finances from EA stopped years ago and thus simply don't care enough to pursue any false bans as they're not getting it in the ear from anyone but both guilt and innocent users.
Maybe they get a royalty from every copy sold, which would leave them less inclined to help a small portion of players suffering from this issue, I don't know.
EA Customer Service were helpful, but they're bound by what they can and can't do ultimately, EvenBalance are the only ones that can look into it, and unless EA launch an official investigation, it won't happen.
That itself is likely to not happen as it costs resources, even of a singular person, for a game that's old and won't bring them in any money and Battlefield 3 is approaching its 10th Anniversary, with BF4 behind it.
BF2/2142 Servers were closed down after less than 10yrs (largely due to Gamespy however), and as brilliant as BF3 and BF4 are even today, I imagine the playerbase is a small percentage compared to BF1/V and they want people to look toward the future of BF6 and not invest in the past.
I'm afraid that your only options are to try and find servers without PunkBuster (Fairfight only) buy a new copy, or leave BF4 in your memories.
Otherwise there's a Petition that was started over a year ago here:-
http://chng.it/DSMN7Ywkcp
However, it's received far too little publicity and as such has too little signatures to even attempt to proceed to the next step.
Most people that had this issue likely just gave up on the issue and moved onto BF1/BFV or the other game franchises.
