A poor dog

I saw a small black dog in the parking lot of a shopping mall when I went to have lunch. It looked very poor (or "it looked to be in very poor shape) and was looking for something to eat.I thought it had lost its home.

One other comment: you used the verb "look" twice in a row. That's not wrong, but it seems a bit repetitive. Since the verbs have two different meanings, you might want to change one just for variety -- for example, "it appeared to be..." or "it seemed to be..." for the first instance, and / or "was searching for" for the second instance.

A Poor Dog

I saw a small black dog in the parking lot/car park  of a shopping mall/shopping centre when I went to have lunch. It looked in very poor condition and was searching (looked) for something to eat.I thought it was a stray/had been abandoned. (lost its home.)

Nicely written, Demi. With regard to the title, we would usually write it with initial capitals. Your first sentence is perfect. In British English, we would use the words I have underlined. In your second sentence you have used the word 'looked' in its two senses - the first means 'appeared' or 'seemed' and the second 'to search for', which is fine. We would tend to say 'poor condition' where 'poor' is used as an adjective to describe how the dog looked to be. For 'looking for something' you can use 'searching'. If a dog is on its own, it may have strayed from its home or its owners did not want it any more. If it has just wandered from home then we call it a 'stray dog' or 'a stray'. If the owners of the dog have deliberately let it loose, then we say it has been 'abandoned'.

A poor dog

I saw a small black dog in the parking lot of a shopping mall when I went to have for lunch.It looked very poor weak and was lookeding for something to eat.I thought think it was lost its home.