As for the tie, I'm leery of treading on anybody's symbolism, even if non-U.K. folk wouldn't know the difference. A bit of research might be required there on the green and black stripes, just to be sure! Can anyone confirm the universality of such a tie?
Don't forget that the differences in striped ties and regimental/university/club ties also are in the "layout" of the stripes; American ties see the stripe "go" from right to left, while the UK & Commonwealth patterns go from left to right.

T.