lets_talk@ea.com is being phased out as you can also see on https://help.ea.com/en-gb/help/account/information-about-banned-or-suspended-accounts/ which explains how you are supposed to appeal bans.
Opening 4 tickets is a bad idea as you are basically spamming EA. It only makes you seem guilty as people using cheats that are caught are encouraged by the cheat manufactures to complain to publishers and in public about false cheat detection.
You make 1 ticket, providing all the information you can, and then you wait patiently.
Logitech hardware and software is definitely tested and don't cause issues. It was even used when they showed new content at EA Play 2018. Corsair is also so big that it's tested and if you don't even use macros then I highly doubt Corsair software or hardware has any false detections either. I and my EA contact can't find any reports about any issues either.
The most likely thing that has happened is that you have cheated or broken the Terms Of Service somehow. Typically it's your account being insecure and was hacked (lack of 2 factor authentication) or you lend your account to a sibling/friend that have then cheated/verbally abused someone or you have used not allowed mods.
In any case, that's what I can do for now, if I hear anything new I will return.