Dark ties convey confidence if the wearer has dark hair and/or features. If the wearer has pale skin and light hair (or is bare-scalped), a dark tie against a stark white background is just going to draw the eye away from the face. See Flusser's Dressing the Man.Don't wear the light blue. You want a dark tie; it conveys more strength and confidence.
I don't know how one could possibly think the rule is never to wear black (shoes) with navy, given that navy is a/the quintisential business suit and the traditional rule is indisputably that, in the city, one wears only black shoes. This rule is now obsolescent, but wearing brown shoes in the city is something of a creative choice (going by traditional rules). I do it all the time, but to think that there's a rule directly to the contrary - i.e., that one must not wear the most citified shoe color with the most citified suit color - is simply preposterous.Some people think a rule is only wear black with navy; some others think a rule is never wear black with navy. Both are wrong, but it's hard to predict what the interviewer will think. This is one reason why charcoal is better for an interview than navy IMHO.
I've got a Zegna tie that's very similar to #1 - the colors are dark enough to be subdued and conservative, but it also looks very deep and rich.I am also an owner of the Ermenegildo Zegna tie at the bottom of the page, but I would not wear it for an interview. My selection would be the green stripe at the top. Lose the black shoes and go with dark brown. Make sure your shoes are shined well and stick a white linen square in your breast pocket. Attention to detail is often noticed by those conducting interviews.