我最喜欢的动物显然是我家庭的小狗！

她它一天比一天漂亮，但是仍然是并且特别可爱！

1. "她" & "他" can only be used to refer to human beings.
2. There is no contrast between "漂亮" and "可爱", so "但是" is not appropriate.

这只狗它叫卢娜，新年以来她属于之后/新年的时候来到我们家。

她它的皮毛是黑白色的，因为她它是一只牧羊犬。

每次我一回家，她它就跳扑我的怀里；再说她到我怀里。它从来没咬过人或者其他狗。

"其他" is right here.
"其他" stands for people, animals and things, while "其它" cannot be used for people.
The "他" of "其他" is from ancient Chinese, with the meaning of "另外的、别的".

目前，我的生活缺乏如今，不敢想象生活中缺少这个蹦蹦跳跳的动物是不可思议的会怎样。