I have two parakeets that are not tame. I am unable to care for them any longer because I am too busy. Will they take them in?

Just call em. I call em all the time and they quickly answer all calls and are very nice. You could spend all day or more just waiting on responses that a simple call could answer.

I heard they have parakeets there though. Couldn’t they just take them and release them?

Yes .only ask for a donation to care for them

While they take any bird species, I believe it is to rehabilitate and release back to the wild.