I don't give up learning English !

I won't (or will not) give up learning English!

Sometimes I think I want to give up learning English. [Perfect]
Because, after I remenber wards and sentences, I forget from one to another.

Sometimes I think I want to give up learning English because, after I remenber wards and sentences, learn new words and sentences I forget from one to another. them quickly.
[Tomomi... everyone who learns a second language often forgets the words they have learned. You are not the only one who forgets. The reason we forget is because we don't use them every day, so it is easy to forget what we have learned.]

But, I've read a airticle for English learners.

But, I read (simple past tense - something that you did once and the action is over/finished) an article for English learners.

 The airticle says "You remenber last year's your English. How was your English ?"
The article said "Think about (or remember) your English abilities last year. How was your English?"

I remenbered that.
I remembered that.

Last year, I just starated to learn English.
Last year I just started to learn English / I just started to learn English last year.

 At that time, I couldn't speak English at all and reading and writing and listening is more difficult for me than what I am.
At that time, I couldn't speak English at all and reading and writing and listening is was more difficult for me than what I am. than it is now.

I realized my groth, and felt relieved.
I realized (or recognized) my growth and felt relieved.

 I decided not to give up learning English ! [Good, I'm glad]

And I try to keep my diary from now on to improve my English skill.
And I am trying (or I will try) to keep a diary from now on to improve my English skills.

Tomomi... If you just started learning English one year ago, I must tell you that your English abilities are quite good... congratulations to you.