To me, they are both correct. I am a native speaker, but not a teacher.

Yep! Same meaning! :)

"a person living with a physical disability"

In Canada, most people I know would just call these products "pads and tampons"

a problem in the past

Last weekend i had to see my friends in the centre of the city, so i decided to try a new path but the subway in that path was very slow and i arrived very late. I should have taken the old path. If i had taken the usual subway i migth not have spent more time.

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Last weekend I had to meet my friends in the centre of the city, so I decided to take a new route, but the subway on that route was very slow and I arrived very late. I should have taken the old route. If I had, it may not have taken so long.

*I'm not sure if you are trying to say you took a newly built subway line or a route that you had not taken before. If the subway line was recently built, I would say the following:

Last weekend I had to meet my friends in the centre of the city, so I decided to take a new subway line, but the subway on that line was very slow and I arrived very late. I should have taken the old line. If I had, it may not have taken so long.

I hope that is helpful!

Hailey

My Day Off

The last day off I had was three weeks ago.
Basically, we didn’t plan it and honestly I wanted to stay at home but my friend called me and she said to me – “For goodness sake why are you staying at home like an old aged woman? Let’s go to the museum!”. And I thought, as a matter of fact, it was good idea. Basically, I wanted it myself. I asked her where we could meet and she offered me to meet me at the café.
However, it was easier said than done. Because The traffic was very heavy in the subway, so there were was a dreadfully many number of people. It was not easy to get to the place. Finally, when I reached the café, I was happy that I met my friend.
We took the our ice creams and went to the museum.       

Good work! Great writing! The following is an example of how to reword this piece of writing to sound a little more natural:

My Day Off

The last day off I had was three weeks ago. I did not have plans and wanted to stay home, but my friend called me and said, "For goodness sake! Why are you staying at home like an old woman? Let's go to the museum!" I thought for a moment, then decided it was a good idea. I asked her where we could meet and she offered to meet me at a café. However, this was easier said than done. The traffic was very heavy in the subway and there were so many people! It was not easy to get to where I was meeting her. Finally, when I reached the café, I was so happy to see my friend. We took our ice cream to go and went to the museum!

Hope these suggestions help you!

All the best,

Hailey

I will take my dog out for a walk. I am going to take my dog out for a walk. I will make dinner. I am going to make dinner. I will run after dinner. I am going to run after dinner. They all express the same thing. If you want to try some examples, I can tell you if you are using the two phrases correctly.