I've got some questions about loyalty regarding a very good SP that will be available this offseason that will probably get a max deal from a few teams.

1). He was traded during the season, do both teams receive a type of loyalty bonus from him or just the team he finished out the season with?

2). He won the world series with the team he was traded to, does that team hold anymore advantage since they won the world series?

3). His patience level is 16, will loyalty even play a factor?

Loyalty bonus only comes into play if he has been with a team for 5? seasons, I think it is.

Someone can correct the # of seasons if it's wrong.

That is correct, 5 years with the same club grants you the loyalty bonus.