I haunged along out with my new classmate! I hung out with my new classmate!

Lol oh no this sounds like you and you classmate were hanged as in "execution by hanging from a rope" "hang out" is for spending time with someone, and "hung" is the past tense (irregular)

I haunged along out with a new classmate! I hung out with a new classmate!

Today, I chatted with my classmate who I sometimes talked with before to. Today, I chatted with my classmate who I sometimes talk to.

Today, I chatted with my classmate who I'd sometimes talked with before. Today, I chatted with my classmate who I'd sometimes talked with before.

Past perfect tense fits here because the "talking before" happened before your "chatting today" which is also in the past

I had double dance and drama classes, and the teacher wasn't there, so another teacher came Iin place of herto substitute. I had double dance and drama classes, and the teacher wasn't there, so another teacher came in to substitute.

"in place of her" is also correct, this is just another way to phrase it.

I had doubletwo(?) dance and drama classes, and the teacher wasn't there, so another teacher came In place of hertaught in her place. I had two(?) dance and drama classes, and the teacher wasn't there, so another teacher taught in her place.

I'm not sure what "double" meant

We prepared something for athe test next week. We prepared something for the test next week.

We prepared something for a testfor next week's test. We prepared for next week's test.

More natural

I had already prepared answers for the questions that I will be asked ason the test because theour original teacher already told us that we are going to have the test. I had already prepared answers for the questions that will be asked on the test because our original teacher already told us that we are going to have the test.

I'd already prepared answers for the questions that I will be asked ason the test because the originour actual teacher had already told us that we are going to have the test. I'd already prepared answers for the questions that I will be asked on the test because our actual teacher had already told us that we are going to have the test.

I think "original" sounds like that teacher has now been replaced forever. There's not really a good word to use here but "actual" might be ok

I improved my answers induring the first half of the classes. I improved my answers during the first half of the class.

I improved my answers induring one half of the classes. I improved my answers during one half of the classes.

OK but I'd probably say something like "I spent half the classes improving my answers, and the rest chatting with a classmate..."

The rest of the class I chatted with a classmate that told me she stearted to learn Japanese. The rest of class I chatted with a classmate that told me she started to learn Japanese.

The rest of the class I chatted with a classmate thatwho told me she'd stearted to learn Japanese. The rest of the class I chatted with a classmate who told me she'd started to learn Japanese.

I'm kind of getting confused if it's one class or two classes

Her English pronounciation of English is just like a native English speaker, even though she came to this country three years ago and it was her first time to move moving to another country. Her English pronunciation is just like a native English speaker, even though she came to this country three years ago and it was her first time moving to another country.

"English pronunciation" sounds more natural than "pronunciation of English", but it's not wrong.

Her pronounciation of English is just like a native English speaker's, even though she came this country three years ago and it was her first time to movemoving away from her country. Her pronunciation of English is just like a native English speaker's, even though she came this country three years ago and it was her first time moving away from her country.

She told me that she will go to Japan next year, so I recommended some places orand food. She told me that she will go to Japan next year, so I recommended some places and food.

She told me that she will go to Japan next year, so I recommended some places orand food. She told me that she will go to Japan next year, so I recommended some places and food.

She made me want to study Spainish and improve my English skills to talk more with her. She made me want to study Spanish and improve my English skills to talk more with her.