You will want to separate points earned for actions in a tournament, such as finishing place, or number of knock outs, etc., from those earned outside of any given tournament, such as for attending N number of tournaments, or number of 1st place finishes.
Points for those things within a tournament can be awarded by using the Points for Playing formula on the Game tab. Or with any of the other "Points for..." input fields on that tab. For example, for the "1 point for each place they finish in", you would set the Points for Playing formula to:
n - r + 1
or, if you want the long version:
numberOfPlayers - rank + 1
You'd use this formula in each of your tournaments. As long as you save each tournament [each in its own file], the Stats tab should tally each player's points automatically, across all tournaments. To add the "5 points for each tournament they attend", you need to create an Overall Points formula on the Stats tab. Edit Profiles on the Stats tab and create a new Profile. Then edit the Overall Scores formulas. Set one of them (any of them) to:
points + (buyins * 5)
Finally, make sure the column "Overall Score N" is visible, where N is whichever Overall Score formula you chose to use for the above formula. By default only the "Overall Score" column is visible. The other 4 are hidden.
When you Refresh Stats, you should see the points based on your description in that Overall Score column.