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I believe the Kohen and the Kohen Gadol had their hair cut off.
Quote time (please ignore any slight mistakes as I am reading out of the book and may not notice the mistakes as I type them.)
Page 675 Kitzur Shulchon Oruch Chapter 169:The Prohibition Against Tattooing and Pulling Out One's Hair in Mourning.
1. [Leviticus 19:28] states: "Do not tattoo yourselves." What is meant by a tattoo? A script that is cut into a person's flesh and thus can never be erased. [This is accomplished when a person] makes an incision into his skin and fills the incision with dye, ink, or other dyes that will leave a mark. Similarly, if he paints his skin with dye at the outset and them makes an incision where the dye is, he also transgresses this prohibition. Nevertheless, it is permitted to place ash or other substances on a wound to heal it, even if a mark from them would remain. This is allowed because the mark from the wound will also remain and thus will show that the mark was not made as a tattoo.


Page 677 Kitzur Shulchon Oruch Chapter 171: The Prohibition Against a Man's Wearing a Woman's Garments.
1. [Deuteronomy 22:5 states: "No male article shall be on a woman, and a man shall not wear a woman's garment that is designated as a woman's." Thus,] it is forbidden for a man to wear even one garment that is designated as a woman's, although he is dressed in a manner that clearly indicates that he is a man. Similarly, a woman is prohibited against wearing even a single male article.
This prohibition does not apply to clothes alone. A man is forbidden to wear or employ any ornament or beautifying practice that is unique to women in his particular community. Conversely, any ornament or practice unique to men is forbidden to women.