I guess, you don`t know the word of 读， 读 means看书，so我看书这书is 我读这书，这书is short of a measure word of"本"，you should change 这书into这本书，finally，我看书这书becomes 我读这本书。you need to know more Chinese words.

这是个病句，不够明确，也不够通顺。 This is a pragmatically, unclear and not smooth enough. I`m reading this book=我在读这本书。（说话的同时必有所指）

我看过这书=I have read the book 我在看这书=I am reading the book 我看这书=I read the book

我看书这书 is equal to " I reading the book this book" in English. I`m reading this book should be '我在看这本书' in Chinese

It is incorrect. 我看书 means "I am reading a book". 我在读书 also means "I am reading a book" but it is a better translation as 看 means to see or to look, while 读 means to read.