Triumph America 2007 battery and ignition problem

Hi and welcome to FixYa,

Initially, the click is significant as it indicates that the starter relay is engaging (hence the click) but the contacts are not switching (hence no starter spin). To confirm, temporarily jumper the 2 big terminals of the starter relay. To locate the starter relay, follow the cable from the battery's + terminal.

Offhand, no headlight would require tracing where the headlight +12 is missing using a testlight rather than a voltmeter.

Good luck and thank you for asking FixYa.