Those joints don't look bad from here. Click Click? like a discharged battery click? I don't recall reading anywhere about clicking. Seems "nothing" when turning the key (start wise) is the typical case. Think in this case you might want to look those over a little better and compare to the pictures again. First one.. yeah..wasted effort solder job. His "still working" picture - well from the blurry pic - yours still looks better than that one.

Would also add most that go belly up are while hot..it shuts down.