There's any way to know if somebody copied a file or folder from my HD during the analysis or data recovery?

I'm not talking about the cloning/imaging process to another HD, but if someone copied something?

The DR company has a confidentiality agreement and etc, but how can I be sure?

Where the HD stored all this informations? Firmware?

Maybe a log that shows everything that was done in HD since the day that I started using until today.

And how can I have access to this information?

And the files copied for the good HD?

1 - They make a clone/image of the bad hard drive for a good hard drive (DR HD)
2 - Then they extract the files of this HD and copy all the recovery data to my new HD ('ll buy them or deliver a new)

Anyway it does not matter, they stay with the damaged HD or stored the data on the server for a few days ... My concern would if anyone copy something, but according to the confidentiality agreement, no data leaves the DR company or anything would be copied and/or disclosed.

I think the fears with regard to data recovery service you have displayed for about a week now with various questions indicates that data recovery is not for you.

If you are choosing a reputable company, the only thing you should fear is for the data to be unrecoverable. Any other fear is just false expectation appearing real.

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Hard Disk Drive (HDD), Solid State Drive (SSD, SATA, NVMe, etc), USB Flash Drive and RAID Data Recovery Specialist in Massachusetts

No reputable company will make their hands dirty by messing with the clients data...If they do, they soon out of business.

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Rescue IT Datarecovery service Sweden
Rescue IT Dataräddning Göteborg AB
http://www.rescue-it.se

You mean 'Last accessed/modified'? Attributes and metadata/regisry/owner change (NTFS/Admin) are relatively easy to nullify/modify, so you could try checking.
However, it's rather pointless for if they are smart and sensible, they'll work with the copy only or under a dedicated OS.Come again? Say what? Do you really? Lately there were heaps of 'porn' and 'torrent' content associated with celebrities and politicians, let alone blackmailing common Joe's.

Never could get why people are so... nevermind.
Why, even reputable curiosity counts)