The computers on campus won’t allow me to print or open my Gmail or Puget Sound webmail.
From your description, it appears that there is a problem with your Puget Sound profile and not the computers themselves. In order to fix any issues with your profile you need to contact the Technology Services Help Desk. They can be reached via email: servicedesk@pugetsound.edu, via phone 253-879-8585 or in person in the lower floor of the library in the Tech Center (room 018)