I’m not sure what you are trying to say with your first sentence, but here are some guesses:
I read (present tense) everyday. – 私は毎日読みます。(polite) – 私は毎日読む。(casual)
I read (past tense) everyday. – 私は毎日読みました。(polite) – 私は毎日読んだ。(casual)

I see a few problems with the second sentence, only some of which really have to do with Japanese, the other is with English.

The sentence you wrote in English (that is, the idea you are trying to convey in Japanese) doesn’t really make sense. You say you want to learn to speak the language in order to read it. Why not just learn to read it? I understand what you mean, but the haziness of the sentence makes it harder to translate into Japanese. So let’s first start with a more clear sentence: “The reason I want to <b>learn</b> Japanese is to become able to read Japanese books.”

There are a few errors in your sentence that lead to it not making sense. So much so that even the correction is not right. (It;s grammatically correct, but conveys a different meaning than what you intended.) Instead of trying to correct your sentence bit by bit (that would get confusing) let me give a few alternate sentences and rough-ish translations.

日本語の本を読みたいなので、日本語を勉強しています。- Since I want to read Japanese books, I’m studying Japanese.

日本語を勉強するわけというのは、日本語の本を読めるようになりたいのです。 – To speak of my reason for studying Japanese, it’s that I want to become able to read Japanese books.

日本語の本を読むために日本語を勉強しています。- In order to read Japanese books, I’m studying Japanese.