The problem is that content rights holders setup bots that track who is torrenting media that they own (all the peers they can connect to).
Then they use your ip to ask your ISP to stop you.
As far as i am aware (and possibly wrong), magnet links aren't any more secure than using a .torrent file, it's just another form of it that can be easily clicked (or copied) to open in your client (i've never looked but it might just be a link containing the info that would be in the torrent file).
$202.50
or
$5