tToday, iI am going to study Angular. Today, I am going to study Angular.

(1) "I" is always capitalised. (2) "I going study" is ungrammatical. The structure is "I AM going TO study"; "he IS going TO study"; "they ARE going TO study", etc.

tToday, iI am going study Angular. Today, I am going study Angular.

tToday, iI am going to study Angular. Today, I am going to study Angular.

The progressive (ing) usually needs to be combined with other words like am/is, was/were, will, etc.

tToday, iI am going to study Angular, which is a framework for front-end development. Today, I am going to study Angular, which is a framework for front-end development.

Angular is a framework for front-end development and iI need to learn this. Angular is a framework for front-end development and I need to learn this.

Same as above. "I" is always capitalised, and it's "I need TO learn"; "he needs TO learn"; "they need TO learn", etc.

Angular is a framework for front-end development and iI need to learn this. Angular is a framework for front-end development and I need to learn this.

Angular is a framework for front-end development and iI need to learn this. Angular is a framework for front-end development and I need to learn this.

Angular is a framework for front-end development and i need learn this.I need to learn this framework (because of these reasons). I need to learn this framework (because of these reasons).

What reasons do you have for learning this framework versus other ones?

Later, iI will study eEnglish because iI want to speak (in) this language. Later, I will study English because I want to speak (in) this language.

(1) "English" is the name of a language, so it's a proper noun and should be capitalised. (2) "I study English" is in the simple present tense, and implies that this is something you do regularly, which isn't suitable here, since you're only talking about "today" specifically. "Will" is in the future tense and it's expected here. (3) You can omit the "in" if you wish. Note that while we can say "speak this language", we don't say "talk this language".

Later, iI study eEnglish because iI want speak in this language. Later, I study English because I want speak in this language.

Later, iI will study eEnglish because iI want to (be able to) speak in this language. Later, I will study English because I want to (be able to) speak in this language.

"I want to speak in this language" is grammatically valid, but it's more natural to talk about the ability "I want to be able to" when talking about languages.

Later, iI will study eEnglish because iI want to speak in this language. Later, I will study English because I want to speak this language.

Now iCurrently I can understand a text if iI read it, but, i havet is very difficult for me to speak and write in eEnglish, so, i I want give an up into improve? my eEnglish. Currently I can understand a text if I read it, but it is very difficult for me to speak and write in English, so I want to improve? my English.

(1) I'd suggest "currently" instead of "now". "Now" might often imply a cause and effect relationship: "I've studied English for a year, so NOW I can understand texts." "Currently" does not necessarily have this implication. (2) I removed some awkward and potentially unnatural commas so the sentence flows better. (3) The phrase is "it is very difficult (for a person) to (do something)". (4) Alternatively: "but I have great difficulty speaking and writing in English". (5) I'm not 100% sure what "give an up" might mean. Perhaps you meant "improve"? Or did you mean "I want to give up my English"?

Now iI understand a text ifwhen i read, but, i still I have very difficulty for English speaking and write in english, so, iing. So I feel like I want to give an up in my eEnglish. Now I understand a text when i read, but still I have difficulty for English speaking and writing. So I feel like I want to give up English.

Now iI can understand a text if iI read one, but, iI have a very difficult fortime to speak andor write in eEnglish, so, iI want give an up inimprove my eEnglish Now I can understand a text if I read one, but, I have a very difficult time to speak or write in English, so, I want improve my English

Languages, and the first first person pronoun "I" are capitalised.

Now iI understand a text if iI read, but it. Unfortunately, iI have verya difficult fortime speaking and writeing in eEnglish, so, i. However, I don't want to give ain up improving my eEnglish. Now I understand a text if I read it. Unfortunately, I have a difficult time speaking and writing in English. However, I don't want to give in improving my English.

Do you want to persist in learning English? Is that you mean?

My Study Plan My Study Plan

"My Study" is grammatical, but "study" has numerous definitions, and in this context, it doesn't mean what you want it to mean. You can write: "My Study Plan" or "My Studies". Since you seem to be describing a future plan here, I opted for the former.

My Studyies/Learning Angular My Studies/Learning Angular