All you need to do is copy the POP3 pst to the new computer - it might be in %localappdata%\microsoft\outlook - on the new computer, put it in Documents\Outlook Files - unless you are syncing documents with one drive, then put the folder somewhere else.
You can set it as the default data file when you add the account to outlook or open it in outlook using File, Open & Export, Open Outlook Data files. When you use the same default pst from the old computer, your rules, categories and other 'special' data will be available - if you import, you lose all of this.
Profiles can't be moved, so you'll need to recreate the accounts in the new profile.