1. ¶
I was actually going to go totake a shortcut when I came back home.

It's more natural to say "take a shortcut" rather than "go to a shortcut" in English.

But I couldn't go because of heavy traffic bydue to the snow.

So I ended up gotaking tohe highway even though it took more time to come.

You could use "taking the highway" or "going by highway" here.

so eventuallySo I ate more food when I came back home.

You don't need to use "eventually" here.

But one of my kids had an upset stomatch,

Practicing 'be actually"to be going to'"

We typically use double quotation marks in instances like this, though single ones would still work.

1. ¶
I was actually going to go totake a shortcut when I came back home.

When you use a shortcut, you say "take a shortcut".

But I couldn't go because of heavy traffic caused by snow.

Using "go" makes it seem like you couldn't take the trip at all, but you couldn't use the shortcut.

So I ended up going to highway even though it took more time to come.

No reason to use "to come" here.

so eventually I ate more food when I came backreturned home.

"Returned" sounds more natural.

3. ¶
I was actually going to go to the movies with my family,

Going to the movies is plural, even if you're only seeing one movie.

But one of my kids had an upset stomatch,

1. I was actually going to go toake a shortcut when I came back home.,

Bbut I couldn't go because ofthere was heavy traffic bydue to snow.

Sso I ended up gotaking tohe highway even though it took more time to come.

2. I was actually going to eat less than usual when I went to my father-in-law's house.,

Bbut I was tostill so hungry, afterwards that

so eventually I ateI ended up eating even more food when I came back home.

3. I was actually going to go to the movies with my family,

and we were going to have somhave lunch together. afterwards,

Bbut one of my kids had/developed an upset stomatch,.

so hHe went to the restroom andto relieve himself but he ended up goneeding to go to a hospital so we weren't able to go to the movies.

Practicing 'to be actually going to'

I think this sounds much better.

1. I was actually going to go totake a/the shortcut when I came back home.

Or "go to a/the shortcut", but "go to" sounds a bit strange here because the shortcut isn't your actual destination.

But I couldn't go because ofthere was heavy traffic bydue to snow.

"because of heavy traffic" is fine, but here I think it sounds a bit weird to use it along with the explanation about snow.

So I ended up gotaking tohe highway even though it took more time to come.

But one of my kids had an upset stomatch,