The 2 earliest matches showing on my profile are not mine.
Which exact matches are you referring to?
2019-09-14 New York Precision Inc 14 September PRS 1-Day Club Match Season Finale
2020-01-24 Lost in Targets 2020 Test (clonepi)
When, exactly, did these two begin showing up? Have you made any changes to your PS account?
I first noticed it when I looked at my public profile 5 days ago.
Here is your fix.
log into your dashboard.
Under the recent events section click the view all link in the upper right.
Find the matches that you do not want to see and uncheck the box for them.
That will remove them for you.