It's hard to tell without more details (and by details I mean log output, complete outputs from commands you're using to troubleshoot, etc...), but from what you do dare to share, it looks as if the gateway of all the VM's is unreachable.
Please run this test (I think you have a Windows guest since you did a tracert command) on a Windows guest that is affected:
Find the Default Gateway of the primary adapter (i.e. Local Area Network, unless it was renamed): ipconfig
Let's say the IP Address of your default gateway is 192.168.0.1. Try to ping it: ping 192.168.0.1
If that test fails, that's your issue. If not, it could be a gazillion other things but the lack of details in your question prevents me from extrapolating further.
To be honest however, I think you should leave the troubleshooting to a system administrator with more experience or at least get one to help you (one who has access to your environment), because this seems clearly a little our of your league (not to offend you, but it is pretty basic troubleshooting an ESX admin should know).