Yung click sound relay yun. Pumapalo yung relay pero di nagreredondo due to 1 or more of the following:
1. Loose or dirty battery terminals. Retight and clean.
2. Low battery voltage. Maybe bad charging system, or battery already not charging. Napalitan na ba ng battery?
3. Starter solenoid contacts damaged. This is the most probable cause in your case since you said the lights do not dim when you try to start the car (i am assuming tama description mo ha). Pag on ang headlights at di nag-dim pag start mo then that is a good sign the starter solenoids are not making any contacts at all.