Change your DNS Settings
https://www.opendns.com/start/computer/
However, I actually ran into this problem before, and the issue was a failing modem, however, remove the the linksys router, and attempt to access the sites directly through the modem.
Also power cycle the modem (turn on turn off)
If you have the ability to remove the PC from the house, and try on someone elses network, that will give you a huge advantage in isolating the problem, i recommend that you try that if power cycling a direct connection to the modem fails