A nNormal dDay in mMy lLife and the sSmall tThings I eEnjoy

If you want to follow title capitalization rules

Then I go downstairs to cookmake my breakfast, and I take advantage of the moment to talk with my family and make plans for the weekend.

We always say "make breakfast" even if it involves cooking. If you say "cook breakfast" it really insists on the fact that you cooked it.

That’s a good customhabit that everyone should include in their daily life.

You want to use the word "habit" here." The word "custom" invokes the habits/lifestyles of a particular people (e.g. of a particular country).

However, to reach a good level, I wantneed to keep learning more.

Since you are setting this sentence up as conditional, "need" is more appropriate than "want."

Hopefully, in the future, I’ll be able to work in another country or meet people and make relationship with a new friends.

More natural phrasing

A normal day in my life and the smallimple things I enjoy.

I study at Tec de Monterrey/Monterrey Tech, and I am currently I’m trying to follow a new daily plan to achieve my goals in the future.

UI usually, I start my day around 9:00 AM.

The first thing I do is check my cellphone and social media.

I replaced "cellphone" with phone to sound more casual. Cellphone isn't wrong, but it sounds robotic.

I know it's a bad habit, I must. One of my goals is to change it.

The beauty of English is that there is no one right way to word a sentence. You could say this in a thousand different ways.
Some alternatives:

I recognize this is a bad habit, but I am trying to fix it.
or
This is a bad habit, which I am working to fix.

TI then I go downstairs to cook my breakfast, and I take advantage of the moment to talspeak with my family andto make plans for the weekend.

Again, countless ways to reword the same sentence. I provided an alternative that comes across more fluidly/casually.

I am a big advocate of "less is more". This essentially means the fewer words you can use to say the same sentence, the better.
You could reword this shorter with:
Next, I go downstairs to cook breakfast and make weekend plans with my family.

After that, I head to the gym and follow my personal routine.

This sentence is grammatically correct, but depending on what you mean by personal routine, there could be a better way to word this.

That’s a good customdiscipline that everyone should include in their daily life.

Despite being busy, I’m used to often takinge breaks because it's important allows me to keep my mind relaxed and calm.

Then, I practice a language that I'm learning, which isbetter learning English.

Again, countless ways to word this. Poss alts:

I then take the time to study a new language. Lately, I have been studying English.
or
I then take time to study English.

However, tTo reach a good level, I wantneed to keep learning/studying more.

However doesn't make flow too well here.

Definition of however: used to introduce a statement that contrasts with or seems to contradict something that has been said previously

You aren't contrasting/contradicting any previous statement you've made.

Learning makes sense, but I think studying might be a more accurate word choice.

Again, countless ways to say the same thing!
Poss alt:
I need to keep studying English more if I want to reach a good level.

Hopefully, in the future, I’ll be able to work in another country or meet and make relationship with a new friendships.

relationships with new friends = friendships

Finally, I end my day with a delicious dinner and watch a t.v. series on Netflix.

Right now, my favorite oneshow is Squid Game.

That’s all for now, t. Thanks for reading!