Hi, there's a small guide on the Easy Anti-cheat site that says Kaspersky should be fine, but you may need to remove an older version and update to the most recent one available. 

https://www.easy.ac/en-us/support/apexlegends/guides/antivirus/

Can you try disabling it as a test and see if you can play a match? Testing with a Clean Boot is a good idea too.