Please confirm that the immobiliser is working as usual.Which wires are you wiggling that helps?Have good look at and play with all of the wires and connections to and at the starter and the battery including the earths. If possible wiggle, disconnect, clean, reconnect.How do you know that battery is good rather than marginal? Could you jump from another vehicle when it clicks rather than cranking?Can you get your hands on a multimeter?Jonathan