To determine the GOAT, one has to be head and shoulders above the rest. For instance:
Most slams
Career slam
Perhaps even a Grand Slam
Most year ending number 1s
Most weeks at number 1
WTFs, though not necessarily the most, but you must have some to your name
Davis Cup wins for your country
Olympic Singles gold is a bonus, but not a necessity (it only comes around 4 years and it was not always played).
As for head to head, it depends, you can trail the H2H count against your biggest rival but win most of the slam matches, ala Edberg with Becker. Then you could make an exception for a losing H2H, yea sure your opponent won more but you won the ones that counted. If however you are losing overall and in slam matches, across several slams, then it has to count.
And this is why we can never havee a clear cut GOAT. Because greats across different eras will never meet, it all comes down to perception. Unless one player has all of the above covered, there will always be different perceptions about who is GOAT. I don't think you can place a measuring points system to measure greatness. You pretty much need to have all the above ticked off to be considered undisputed GOAT, otherwise it's open to debate.
Blocker, I would add the following criteria:
Majors won in a row
major finals and SFs
span of majors won
tournaments won
tournaments finals and SFs
years in top 10
top event of the year won (Wimbledon, before open era mostly Wembley)
Channel Slam (Borg and Rosewall did it)
Adding these parameters to your's (maybe we have forgotten a few more) I think it's reasonable to call Laver, Rosewall, Gonzalez and Tilden the four true GOAT contenders.
BUT: This is only regarding record and success, not regarding playing strength! For instance Lew Hoad is still ranked No.1 at top playing level by many experts.