Guild Wars 2

I have purchased a number of cultural armor pieces and either transmuted or discarded them in some way. Since I have credit for them for the achievement points should they not be unlocked in the wardrobe or will I have to purchase them again.

Only if you had them on a character or in your inventory / bank on the day of conversion.

And no, the achievements don’t show what you have bought since its just that you need 6 different pieces of every tier but it can be light, medium or heavy.