Past tense

Hello! I would like to know if the past tense would be more correct in this context.

A friend of mine messaged me recently. and he told me about what happened to him yesterday.

While I was reading, I was wondering if the present tense is OK if you're telling a story that happened in the past.

This is how my friend phrased it: Yesterday, my mom asked me to help her with the groceries and I agreed, but I told her that I was just gonna drive her to the store and stay in the car as I was having a migraine. I also told her that I was just going to wait for her in the car; we both agreed.

While waiting for her, I tried to sleep, but it was hard for me to do so because the right side of my head hurts, and I can't lean on that side. On my left side, I am being blinded by the sun, so I cannot lean on that side either. I have to choose but none of these seemed to be the right choice, so I just decided to cover my eyes until i fell asleep.

In the second paragraph, shouldn't everything be in the past tense since all of those happened yesterday?