On May 19, 2020, two days after the Season 1 finale, Ruby Rose announced that she will be leaving the series. The reason of her leaving was the long hours and difficulty of the work. The CW announced that same day that they will recast a new actress of the LGBTQ community in the role of Batwoman, but not as Kate Kane.
Batwoman clearly has black paint around her eyes whenever she wears the cowl. But whenever she takes the cowl off, there's never any paint around her eyes. This happens in several episodes and is common amongst many superhero/comic book shows with masked characters.
The Warner Bros and DC Comics logos are colored red and black (Batwoman's colours), are set in Gotham City and have bats flying around.