To that, I'd add that ones opponent will always gift you between 2-5 strokes.
So with that in mind, here is the updated version of my original tips; which seems to have been lost during this sites transition.
1) Par is always your friend, because +1 takes two birdies to reclaim the -1 score
2) Keep and eye on the opponent, especially a computer one, the errors he or she makes are good humour value but also mean that that often a par is all one needs to both win the hole and keep 'the honours':- ie, teeing off first.
3) A weather eye on both wind and speed of greens helps
Lastly, even when you are ahead by say three strokes, it's oh so easy to lose that lead; the opponent gets a lucky eagle and you are down to a one stroke lead.
Although yours truly is not playing on Links 2003, all these tips work very well on the Golf games that I play on that I got from the Windows Store:- namely Par 72 IV, and Pro Golf Challenge.
The former uses a vertical gauge instead of the circular one on Links 2003; the latter immerses you in the action by the act left click and moving the mouse right for swing back; then left for the follow through.
The latter also has a ball tracker, plus, on the green, an overhead ball tracking view.
I switch between the two, to get the feel on the Pro one, and then to test the 'Watson theory' on Par 72 IV.
I hope my tips help.