Actually, I like it but it was not the right way it showednot in this context. Actually, I like it but not in this context.

I assumed you meant you liked the music but not in the specific situation you were in. If so, then this is how you would say that.

It was when I was inat my university, and I wanted to go to the library to study. It was when I was at my university and I wanted to go to the library to study.

Since it was exam weeksseason and every student needed to study intensively, there were no seats for me, therefore I needed to find somewhere else to study. Since it was exam season and every student needed to study intensively, there were no seats for me, therefore I needed to find somewhere else to study.

The 2 common sayings I know are either "exam week" (1 week) or "exam season" (multiple weeks). This may differ between regions.

I decided to go to a cafe near my school and hoped I could study well there. I decided to go to a cafe near my school and hoped I could study well there.

Unfortunately, the music was blasted out froming in this shop, which interrupted me. Unfortunately, the music was blasting in this shop, which interrupted me.

To be honest, it iwas an easy listening cool song and hasd catchy tunes. To be honest, it was a cool song and had catchy tunes.

But at that time, all I could feel was annoyance asince my exams were impending and everyone was studying. But at that time, all I could feel was annoyance since my exams were impending and everyone was studying.

Using 'as' is fine but it's quite formal.

It seemed like I was the only one who dicouldn’'t hit my booksstudy, so I decided to leave. It seemed like I was the only one who couldn't study, so I decided to leave.

"Hit the books" is a saying (always 'the' never 'my') but it's not used in this context. You would use it in a situation like this: I haven't studied at all this semester and my exams are soon! I've got to hit the books! I should note that it's not a super common saying (I think it's a bit outdated).