I have a player out for 5 weeks. How many games is that?

5

As I see it, he would miss only the first 2 pre-season games. He has 3 weeks of Free Agency ,now then the Pre-Season starts!

Is that right?

Actually no, any player that shows injured during the off season will be completely healthy once Training camp and the preseason start. Those injuries are from last season and just havnt been reset yet