Is there any Shari evidence that the Prophet (peace be upon him) commanded the killing of crows, as mentioned by Ibn Al-Qayyim in "Al-Tibb Al-Nabawi"? And is killing the lizard (ada'ah) permissible, and is its doer rewarded?

It is permissible to kill five noxious animals: the snake, the piebald crow, the mouse, the rabid dog, and the kite, due to the harm and corruption they cause. As for the lizard, if it is a gecko, then the permissibility of killing it is established. If it is another type of lizard, there is no text that mentions killing it, and it remains under the original prohibition, unless its harm is proven, in which case it is permissible to kill it by analogy with the five types. The Malikis have stipulated the permissibility of eating it after its ritual slaughter.