The Last Day of the Summer Vacation

For some reason, we don't usually use articles before some words like, "Summer Vacation." I'm not sure why. Maybe it's because "Summer Vacation" is treated like a name.

Yesterday was the last day of summer vacation for my daughter.

last day of the summer vacation for my daughter.

I think this was just a typo so I deleted it and added it to the previous sentence.

I wanted to take her out for dinner.

Your sentence is grammatically correct. In the US, this is more natural: "I wanted to take her out to dinner."

I checked the vacancy of the tablearound, but it was full everywhere.

残念！

This morning, she told me that she doesidn't want to go to the school.

In English, we don't quote the person as we do in Japanese so, if it's past tense, everything is past tense no matter what the person said.

”School" is another funny word that uses articles half of the time. In this case, it's like a name of us in the US. We just memorize it or get used to hearing it.

She got the detrimental impact byeffects of the long vacation.

The Llast Dday of the Ssummer Vvacation

Sometimes, titles are capitalized. It is great to capitalize for the title of an article, for instance.

last day of the summer vacation for my daughter.

I checked the vacancy of for restaurants withe table, but it was full everywheres free, but every restaurant was full.

This morning, she told me that she doesn't want to go to the school.

She was nervous, because she wondered what she wouldto do if the teacher got mad at her.

You can also say, "She was nervous, because she was not sure if the teacher would get mad at her."

SThe got the detrimental impact by the long vacationlong vacation has had a detrimental impact.

You can also say that she has experienced the "summer slide," which is how some teachers refer to difficulty at the end of summer break.

The Last Day of the Summer Vacation

We don’t usually use ‘the’ when referring to summer vacation

last day of the summer vacation for my daughter.

same correction in the title

I checked the vacancy of the table, but it was fullsome restaurants for vacancies but everywhere was full.

swapped around some word orders and made it sound more fluent.

This morning, she told me that she doesn't want to go to the school.

we don’t (usually) use ‘the’ when referring to school

She got the detrimental impactwas impacted negatively by the long vacation.

We don’t tend to say you ‘get’ an impact, and the word ‘negatively’ would be used more often here.