Yes all those games play, and everthing I have plays too with swap magic. A few games require you to use a loader with old versions of swap magic but 99% of games don't.
You cannot download swap magic. The first disc the PS2 reads has to be original.
If you want totally free and have the older large version of the PS2 and have a friend with or access to a modded PS2, you can have the 'cogswap' memory card exploit lodeded on to your mem card and can run games in the same way as swap magic. I done this for my nephew and he has no trouble playing anything. You will reqiure a PS1 original game to trigger the cogswap programme.
I looked up "gormless" in the dictionary, it said "without gorm" .... so i looked up "gorm" but it wasn't there ????