2Two tile workers and a plumber came here and worked.

I couldn’t watch every working stepsstep of the work today because I had to go to the office after my morning meeting.

I renleft my key to themwith them and headed out. ¶
I gave them my key and headed out.

Both are appropriate.

The tiles were worlooked great.

You are describing what you can see in photos. "to work" has the primary meaning of "to function."

DThe dishwasher also worlooked very wellgood.¶
The dishwasher was working.

I think you would need a video or a text from your husband to know that the dishwasher worked, but if they tested it, a photo might show that.

We finally were able to use water!

The past tense shows that they tested it to make sure it worked.

I checked work processes / inspect the day's work every evening, and this onee nick wasn’t there yesterday.

The present tense shows this is your routine.

The second problem was a tile falling down fromoff the wall.

People fall down. Sometimes we use the expression for other situations, but things that are stuck on a wall fall off it.

It looked unstable at first time when I saw,, and it eventually fell with a loud noise.¶
I noticed it looked unstable; and it, eventually, it fell with a loud noise.

Commas can change the rhythm or cadence of the sentence. They help you to put the emphasis where you want it.

The third problem was, that the new dishwasher was installed not levenly!l.

The precise word for making sure something we build or install is even is "level" which can be an adjective or a verb.

I love to see everything in aligned, and tidyeven.

"Tidy" really relates to another characteristic--not being messy. For example, a room is tidy not because the furniture is level, but because everything is in its place. There are no things lying around on surfaces, etc.

But the dishwasher installedwas slightly tilted, and thea corner was popped out beside ofof it stuck out from the cabinets!!

I'm not sure about correcting "the corner was popped out" It might be correct in British English.
In the US, "to stick out" is commonly used to describe something that isn't aligned like this.

I was so disappointed [that] what they did today.

You need a preposition, but "at what they did" or "by what they did" or "with what they did" are all correct options imho.

2Two tile workers and a plumber came here and worked.

Start a sentence with the number written out. Its also best to write the number if its under 10 within a sentence.

I couldn’t watch every working steps today because I had to go into the office after my morning meeting.

Since you used the word "every" then "step" becomes singular.

I renleft my key towith them and headed out.

Maybe you were thinking "lent my key to them" but they're not borrowing it. Usually for this context you say "I left my key with them"

The tiles were worlooked great.

DThe dishwasher also worked very well.

I looked at my new kitchen and found some problems.

The first one was, there was a nick on my new cabinet door!

I checked work processes their work every evening and this one was’t there yesterday.

The second problem was there was a tile falling down from the wall.

It looked unstable first time when I saw, and i it. It eventually fell with a loud noise.

The third problem was, the new dishwasher was not installed not evencorrectly!

Maybe you mean "The dishwasher was not aligned properly"? I get what you mean visually by 'evenly', but the sentence would need some more finesse.

It made me feel really crazy.

I love to see everything in lined, and tidy.

But the dishwasher was installed slightly tilted and the corner was popped out beside ofthe cabinet!!

I was so disappointed withat what they did today.

The preposition "with" is paired with disappointed.

2 tile workers and a plumber came here and worked.

I couldn’t watch every working stepsthing today because I had to go to the office after the morning meeting.

I rent my key to themgave them my key and headed out.

Tiles were worlooked great.

DThe dishwasher also worked very well.

We finally were able to use the water!

I looked at my new kitchen and found some problems.

The first one was, that there was a nick on my new cabinet door!

I checked workon the procgresses of the work every evening and this one was’ not there yesterday.

It looked unstable the first time when I saw, it and it eventually it fell with a loud noise.

The third problem was, that the new dishwasher was not installed not evenly!

I love to see everything in lined, up and tidy.

But the dishwasher installed slightly tilted and the corner was popped out beside oftile which had popped out and the chip on the cabinet!!

I was so disappointed thatby what they did today.