This app was mentioned in 2 comments, with an average of 1.00 upvote
Would really prefer you test with Ethernet first. You can try TracePing if you have android. Use Google.com in Host section if you don't find the IP to any of the games you are having issues with. Screenshot the results.
If you have an android phone you can download this app and test it on your phone. Doesn't really tell you if there's a problem with your chromebook, though, just your internet.