When you download a zip, rar, etc compressed file, then that website usually also have another file that ends with the file-externsion such as .sha256 , or .md5 etc etc,
so download that file too.
The .sha256 or .md5 file has hash-code inside the file.
Hash code is a fingerprint code of a file.
if even 1 byte is changed/modified in a file, then calculated hash-code of a file, will not match with file's hash code in .sha256 or .md5 file that was obtained from a website.
These are file's integrity verification related files.
Those files help us to make sure, our downloaded file is not modified, somewhere in the middle of the internet path.
checksum ~= hash code ~= digest code ~= integrity code ~= fingerprint.
So when you decompress a compressed (zip rar etc) file, by using that Archive-Utility app,
that app wants to use the hash file from website, so its asking to you, to provide that, to make sure, file integrity is ok or not.
By the way, try to use LibreOffice , its totally free ... free alternative of Microsoft Office apps.
https://www.LibreOffice.org/
Some earlier MS Office apps were using 32-bit codes internally.
But few versions earlier, macOS disabled support for 32bit based apps ... so older 3rd-party apps, may not run in newer macOS.
If your MS office is online subscription based, then, you can reinstall Microsoft365/Office365, & re-verify your subscription from inside the app, then MS servers will re-authorize your MS Office apps/functionalities, running-instances, etc.
More info on full-verison MS Office 2016 64-bit : https://learn.microsoft.com/en-us/office/troubleshoot/office-for-mac/office-2016-for-mac-64-bit-upgrade
More info on Microsoft365 , Office Home & Student 2021 etc etc : https://www.microsoft.com/en-us/microsoft-365/buy/compare-all-microsoft-365-products?&rtc=1&activetab=tab%3aprimaryr1
Apple's "Preview" is free & a very good alternative of Adobe's Acrobat Reader.
But if you still need Acrobat-Reader : https://helpx.adobe.com/acrobat/kb/install-reader-dc-mac-os.html
Add more RAM in your macbook to speed it up.