Have you tried a second browser to rule out it being a browser thing? Tried turning off your firewall/anti-virus?
Did you have any quirky settings on your old router? I know I struggled to connect to some sites from the library because I was trying to give myself a static IP (at home I've tinkered with the QoS settings to keep myself at the top of the data chain
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Could be a few things, bit of a strange one though.