League Manager can run an individual league (match type (1 vs 1), against the field (1 vs all), or against the course (all vs all)).
If it is a match type league,  LM pairs one player versus another player to determine match points in each event...not one player versus 3 different players (three different matches) each event.  The same is true with team leagues, one team versus another team each event.  Teams are assumed to consist of the same players throughout the season...however you can have substitutes and replacement. 

In short...LM cannot "automatically" award points for an 'individual team with multiple weekly matches' format.  You can manually assign points though...double-click the golfer to view his player form and type in whatever points you determine he should receive that week.

For more information, please refer to Point Calculation Parameters.