1) Watch the game. It's not his job to fly into challenges because it's not his strength. He forces opposition players into positions where our press is effective, leading the way for Alli, Dembele and Wanyama. There's a reason why he runs the most of ANY player in the league.
2) That's what he's always done. So many people have noted during his time here, that he's the one who stays around after training practicing. Kane said it 3 days ago ffs. Sherwood once said that Kane's biggest help at the club was staying behind after training with Sigurdsson and Eriksen. Practicing shots, finishing and modelling himself on their professionalism.
3) See two.
Why doesn't Real Madrid or the likes come in for him? Because they wouldn't be able to get him for what they paid for Modric, he hasn't kicked up a fuss and yes, there's parts of his game that needs to improve. Specifically, he struggles to dominate games against better opposition as Modric could. He runs the show in a lot of games against lower and mid-table opposition, but not against the best.
Also talk over here has always been that plenty of clubs have had feelers out for him during his spell with us, but they've always been turned away.