Won't start

05 trailblazer one day just clicked on first start started second time, rear wiper came on once by itself, next day wouldn't start first try but second try it did . While driving anti theft light came on and stayed on, later went to start and now it won't start at all, just a faint click, would a bad starter do that with wiper antitheft light, battery is fully charged, starter relay clicks when hooked jumper wire, banged starter and nothing