In fact, I am really into learning English these days. In fact, I am really into learning English these days.

In fact, I am really into learning English these days. / These days, I am really into learning English. I am really into learning English these days. / These days, I am really into learning English.

Shadowing a script, composition, writing down a journal and reading a book in English are thingactivities to study. Shadowing a script, composition, writing a journal and reading a book in English are activities to study.

Here "activities" might be a more appropriate word.

Shadowing a script, composition, writing down a journal and reading a book in English are things to study. Shadowing a script, composition, writing a journal and reading a book in English are things to study.

As a result, I practice for more time and I am able to learn more. As a result, I practice for more time and I am able to learn more.

here we need "for" to express time (for example: I practice for more time, I practice for 45 minutes, I practice for less time...)

As a result, I practice more time, and I am able to learn more. As a result, I practice more, and I am able to learn more.

Every early morning, I make a study plan onfor the day, and try to make the goal as many as possible. Every morning, I make a study plan for the day, and try to make the goal as many as possible.

You could also say "early every morning", to emphasize that you make a study plan EARLY each morning, but not "every early morning" as the word order is not very natural.

Every early every morning, I make a study plan one day, and try to make theas many goals as many as possible. Early every morning, I make a study plan and try to make as many goals as many as possible.

When my skills are better, I feel more easy to doconfident using them. When my skills are better, I feel more confident using them.

Here it sounds more natural to say "I feel more confident". You could also say "I find it easier to...".

WhenAs my skills areget better, I feel more easylike it's easier to do them. As my skills get better, I feel like it's easier to do them.

I hope I want to speak fluently in English. I want to speak fluently in English.

You can say "I hope to speak fluently in English" or "I want to speak fluently in English" - either is fine! But you cannot use both.

I hope to speak fluently in English. / I want to speak fluently in English. I hope to speak fluently in English. / I want to speak fluently in English.