Today's life

I got up at seven and fell back to sleep, so I didn't have enough time to cook my lunch.
Fortunately, I was on time for work.
I didn't have a long day, so I was able to go to coffee shop during my usual work time.
I was lucky.

This is the most fluent way to write these thoughts.

Today's life

I got up at seven and fell back to sleep again.
So I didn't have enough time to cook my lunch box. (People don't cook lunch boxes, people put food in lunch boxes)
Fortunately, I was in time for my work.
I didn't have a long day at work today.
So I was able to go to coffe shop during my working time. (We call working time work hours in America, where I am from)
I was lucky.

I have some tips on how to fish this notebook entry:

1. Don't start your sentences with the word "So". Since the word "So" is a conjunction, it should never be used to start a sentence. Starting your sentences with the word "So" is gramatically incorrect. 

2. You should connect some of you sentences with conjunctions to make the paragraph sound better and more grammatically correct. (If it sounds confusing, please message me and I can explain it in more detail.)

3. You spelled coffee incorrectly. Coffee is spelled coffee not coffe.

4. Some of your sentences are worded strangely.

I will rewrite your notebook entry in a way that is grammatically correct, so that you can use it as a refrence: 

Today's life

I got up at seven and went back to sleep, so I didn't have enough time to cook my lunch. 

Fortunately, I was not late to work.

I didn't have a long day at work today, so I was able to go to the coffee shop during my work hours.

I was lucky.

I hope this helped. You can always message me if you have a question or are confused about something.

Today's life

I got up at seven and fell back to sleep again. 

(You can also just say 'fell back asleep')

So I didn't have enough time to cook my lunch box.

Fortunately, I was in time for my work.

(The sentence sounds a little strange, maybe try: 'Fortunately, I was on time for work')

I didn't have a long day at work today.

So I was able to go to coffe shop during my working time.

(This sentence also sounds strage without 'the' included before coffee shop: 'So I was able to go to the coffee shop')

I was lucky.

Today's life

I got up at seven and fell back to sleep again.
So I didn't have enough time to cook my lunch box.
Fortunately, I was in time for my work.
I didn't have a long day at work today.
So I was able to go to the coffee shop during my working time.
I was lucky.

Teach me some Japanese >:(