Imo the tie and shirt do work together, but they're both quite light and washed-out, so the waistcoat being much darker than both prevents the tie from popping out the way it should. To rephrase : if I squint, I can't really make out the tie from the shirt compared to the waistcoat.

Changing just one thing, a rich/dark red tie or perhaps a lighter waistcoat might work well here.

Otherwise I think you're pretty fly :)