Only number 1 and number 4 actually count for anything in this context, and number 4 would depend on Arsenal and how badly we wanted Kagawa.
Fact is, Arsenal is a massive football club, and if we asked any available player, with the exception of a very elite few, to hear what we were peddling they would listen. After that it depends on what the player is looking for and how we sell ourselves.
Also cant discount the role of agents and advisors, a clubs 'industry' reputation and a bunch of other stuff.