Well, queer encompasses more than just gay and lesbian people.
Non-binary people can be queer, heterosexual trans people can be queer, asexual people can be queer. Same with polyamorous people.
Non-binary people can be queer, heterosexual trans people can be queer, asexual people can be queer. Same with polyamorous people.
Of course, those were defining two different concepts: the style of a school and the personal style.
To be precise, identity is very easy to define: it's to be you, instead of anyone else. Until someone invents some kind of brain trasplant, it's impossible to transfer consciousness, so your identity is your body, more specifically, your brain. That would include your memories that, although can be erased by trauma or illness, are mostly very strongly rooted.
Outwards, it would expand to your habits, your chemistry, your beliefs. All that can change, but it's difficult. So it's more your personality than your identity.
Then there is "identity" that isn't. More like being part of a group, so it's parallel situation to that of style. You identify yourself with a group, you define yourself as the sum of the groups you include yourself in. Identity is very much about individuality. "Identity" seems to be the opposite: the inabilty to be someone on your own.
Certainly the situations can sometimes change: the basketball player might stop playing basketball and no longer identify as such. And I suppose someone who has never played basketball in their life could adopt the identity of "basketball player" if they wanted to, but... that's fine, that would be a case where that particular person's identity is based on a belief (or delusion).