As Drox said, you have nothing to worry about, unless A) someone else in the barracks is playing EQ at the same time AND B) your barracks router somehow treats you both as sharing an IP address (which I think would be unusual) ... and even then, all that would happen is a message about not being able to get in.
In the (very unlikely) case that happens, a VPN is a cheap (<$5/month) workaround ... but again I doubt one will be necessary.
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