iOS 7 and Bluetooth keyboard issues

After upgrading to iOS 7 on an iPad 2, my Logitech ultrathin keyboard will no longer type alphanumerics into my school's secure WiFi login/password network page (but does function properly in other applications/pages). Every single key seems not to function on the WiFi login page (only) except for the upper left hand "home" button, which allows you to toggle away from the login page. In order to login to secure WiFi, I must turn off Bluetooth to disable the Logitech keyboard and bring up the iPad on-screen keyboard, login to the secure WiFi, then turn on the Bluetooth again in order to gain use of the Logitech keyboard. And I must repeat this process regularly because the secure WiFi times out after several minutes of inactivity. This problem did not exist with iOS 6. Very inconvenient. Please help.