Only the first 2, wow you have a ways to go!
Yep, she gave us their birthdates (Louis – October 4; Lestat – November 7) outside of canon. Neither date is mentioned explicitly in canon, and so some ppl do not accept that information as canon.

(There is also some fanon that Armand’s bday is November 11, which AR never mentioned at all.)
I don’t recall the vampires ever celebrating their birthdays explicitly in canon, but I headcanon that some of them do. Some of them prefer to celebrate the date they were turned, some celebrate both (exception: I headcanon that Lestat doesn’t celebrate the date he was turned) and some celebrate neither (Khayman, maybe).
EDIT: Claudia mentions in her diary entry in QOTD that Sep. 21 is the night her dads honor every year as her birthday, and she doesn’t know why. It’s probably the night she was turned, bc Lestat tells her “‘It was the day you were born to us.’ ” It’s Michele Rice’s birthday, Anne Rice’s daughter.
[X] BTW, I was looking for a reference as to Lestat and Louis’ birthdays for an Ask and found this. Someone used one of my memeythings for Becket’s birthday in 2015. The POTP are aware of me… *shudders*
And no, AR was not among the 21 who Liked that pic.