Connection issues to EU gameserver - Time Warner Internet

This question is about "Connection issues to EU gameserver", with Time Warner Cable internet and apps. Hello!

I'm playing WoW on EU servers, as I've moved from there to Los Angeles. I have lived here for over six years with no issues at all (150-200 ms, which I've gotten used to), until recently. My ping now spikes up to anywhere between 800 and 1800 at times. It started a few weeks ago at which point it only happened maybe for a few seconds every hour or so, but now it's getting worse for each day, making it nearly unplayable. This strictly happens in WoW as far as I have noticed.

Would someone be able to assist me based on the WinMTR and PathPing logs attached? I got two different results with the PathPing so figured I would include both.

I'm a complete beginner when it comes to this, so I'm hoping that it's as easy as replacing the modem and/or router.

Thank you!

Connection issues to EU gameserver?