Suarez has stated on numerous occasions that Liverpool are not in the Champion's League (and don't look like breaking into it for many years to come) every time he is on international break, and yes, he has a problem with the English media, but then again, he has a problem with just about everyone.
But as a football player, he is outstanding. Should have won the player of the year awards ahead of Bale in my opinion, and a player like him would propel any of the top 4-5 teams right now to the title. He really is quite a special player.
Pity about all his issues though, but some of the greatest players have had more than a screw lose in their heads. I don't think I even need to provide examples here.