Sorry you can only update the last 3 years. You can only amend the last 3 years. You shouldn't need the older programs installed. Hopefully you saved each year as a pdf file.
What I would do on the old computer, is copy the whole Turbo Tax folder that is under your Documents. That should be where the .tax files and pdf files are stored. Also if you haven't done it, I would open each year in the program and save it as a pdf file, go to FILE - SAVE TO PDF so you don't need the program installed to view your return. Copy that folder to a flash drive or best yet is to burn it to a CD or DVD and then you will have a backup of them. Then on the new computer copy the folder (or files) from the flash drive to your Documents folder.
You only need the tax return data file ending in .tax2021 to transfer into 2022. You don't need to install older programs unless you need to amend or you didn't save the pdf file.
See this article on how to move your tax return to another computer…….
https://ttlc.intuit.com/community/tax-data-file/help/how-do-i-move-my-tax-data-file-to-another-compu...
