When I read my answers, I felt gladly because I saw my mistakes.

gladly is what's called an adverb, this means it's an adjective or a descriptor that can only be paired with a verb or an action word.

Thrust, I learned to correctly to make sentences.

correctly is another adverb. Adverbs are near always placed right in front of their verb (in this case make)

I’m going to write everything and everyll the time.

everytime isn't really a phrase that's used in english. people use all the time instead

While I am watching English TV series, I enjoyed this language.

watching is present tense continuous (happening right now for an undefined amount of time) while enjoyed is placed in the past tense. Make sure your tenses match!

Unfortunately, I finished to learning English at level c1 a few years ago but this years I never enjoyed English and so also I forgot all of the words.

I'm having a bit of trouble figuring out what you mean. are you trying to say I never got to practice or maybe never got to use english? I mean it sure sounds like you enjoy it!

And now, itime is learning time again!

make sure to put a subject in your sentence (it in this case). learning is used as an adjective in this case while time is a noun

When I read my answercorrections, I felt gladly because I saw my mistakes.

"Gladly" is an adverb. "Glad" is the adjective.

Thrust, I learned to correctly to make sentences.

(1) In your original sentence, "correctly" refers to the act of learning, not the act of making sentences. Slight adjustments to word placement may change the meaning of a sentence.
(2) Alternatively: "Thus, I learned to make sentences correctly."

I’m going to write about everything and everytime moment.

(1) If by "everything" you're referring to topics, the phrase is "write about X". The phrase "write X" moreso refers to a physical act of writing, such as in the phrase "write books" or "write words".

(2) I think the phrase you're looking for is "every moment" here, as in you're going to write about every moment of your life. If you meant that you're going to write frequently, then the phrase to use should be "all the time": "I'm going to write about everything (and) all the time."

"Every time" means "without exception" and needs an event to attach to. For example: "I write every time [I'm on the train]." or "I listen to music [every time I'm sad]." Sometimes that event doesn't need to be spelled out explicitly and can be understood through context: "He does that every time (I see him)." However, that event seems to be missing here.

I love eEnglish!

"English" is the name of a language, so it's a proper noun and should always be capitalised.

While I am watching English TV series, I enjoyed thise language.

(1) The tense is inconsistent: "am watching" is in the present tense but "enjoyed" is in the past tense. If it is a general fact that you enjoy the language while watching TV series, then the present tense would be used. However, if you're talking about a single past event, then you should use the past tense: "While I was watching English TV series, I enjoyed the language."
(2) "This" is not wrong, but for me, "the" is more natural here.

Unfortunately I finished tostopped learning English at a C1 level c1 a few years ago but this years, and back then I never enjoyed English and so I also I forgot all of the words.

(1) "Stopped learning" is more appropriate here, especially since you can never really "finish learning" a language.
(2) "C1 level" sounds more natural than "level C1". Here, "C1" sort of acts as an adjective that modifies "level".
(3) The use of "but" doesn't strike me as very appropriate here. It is used to introduce contrasting information, but I don't seem to see that in the original sentence.
(4) The "and" before "so" is not wrong, but I removed it so that I'm not using it excessively, since I replaced "but" with "and".

And now, time isit is time to start learning again!

When I read my answercorrections, I felt gladly because I saw my mistakes.

Thrust, I learned to correctly to make sentences.

I love eEnglish!

While I am watching English TV series, I enjoyed thise language.

Unfortunately I finished to learning English at c1 level c1 a few years ago but this yearsback then I never enjoyed English and so also I forgot all ofthe words.

And now, time isto learning again!