HI have a lot on my plate

Much like Russian, this sounds better with a pronoun, even if the rest of the sentence is obvious from context.

There are only 3 minutes left in my workday and I absolutely cannot continuekeep working.

What you wrote is correct, but shorter words like “keep” are more common when the speaker is annoyed!

Today was brutal - —I had to rewrite all the code multiple times.

It is natural to use an em dash here. I believe this is the same dash Russians would use in sentences like, «Сегодня — трудный!», but we don’t put spaces around that dash.

On top of that, my colleague bombarded me with incontradictorysistent corrections.

The word “contradictory” is really good, but I would use “inconsistent.”

He didn't even do it insubmit a Ppull Rrequest - h! He sent me some of the corrections on social media and just told me others corrections verbally.

I like this better as two sentences.

The latest thing I've been working on is supporting multiple image and video extensions for a dynamic component with various options.

You can say “the last thing,” but it has connotations that you are quitting your job. We often say, “The last thing I want to do…,” as a figure of speech that means, “A thing I don’t want to do, more than I don’t want to do anything else…”

It took so much timelong!

What you wrote works, but this is how English speakers speak when they are irritated.

MyThe same colleague left and asked me to send him a record of the results, but I didn't finish, so I couldn’t sentd him noanything.

I have a headache because right in front of our windowsjust outside our office, workers have been making repairs all day, and for the last few hours, t. There ha’s been an awfully loud noise for the last few hours.

Update: I'm home now and I feel much better.

English speakers often omit the “I” that I added here, but to add it in has better flow.

However, I still can't understand why five-sevenths of my life is being lived at work.

HI have a lot on my plate

There are only 3 minutes left in my workday and I absolutely cannot continue working.

Today was brutal -. I had to rewrite all of the code multiple times.

On top of that, my colleague bombarded me with contradictory corrections.

He didn't even do it in a Pull Request -, he sent me some of the corrections on social media and just told me others.

I had to compile all of them intoin one place just to keep track of everything.

Correction for a natural way of saying this

The last thing I've been working on is supporting multiple image and video extensions for a dynamic component with various options.

I have a headache because right in front of our windows, workers have been making repairs all day, a. And for the last few hours, therey hasve been an awfully loud noise.

If you are still talking about the workers, this is more natural to continue your thought.

Update: I'm home now and I feel much better.

original was fine

However, I still can't understand why five-seventhsmore than half of my life is beingasically liveding at work.

I've never heard of 5/7th, you can say it is - it's just unnatural