turning the wiper knob is the time delay adjustment...turn to right, faster cycle, turn to left, longer time b/w wiper activation.
As far as it runs every 30 mins or so, take a look under your dash on the firewall. There is a plastic cover for your washer motor. If something in there is loose, a simple bump will activate your wiper motor.
AS far as your washer pump not working, do you hear the pump activated? Check your lines etc..