As doing backup is risky. i have used another computer to try it on 1st. therefore, currently im using a school cable to connect to the outside world.
Not sure why a backup should be risky... It should be the opposite!
You say you can reach Google. How do you do that? Ping?
What DNS'es are you using? You could try to use OpenDNS (208.67.222.222, 208.67.220.220)
You are using a school network - there are usually firewalls in place. Do you know of any blocks?
From the traceroute, it looks like you are getting out, so at least to me, this does not look like a problem with your server at all. BUT - there is a big BUT here :-)
There are others here in the forum that will be able to answer this better.