1)
Why does he contemplate the Pikudim?
1.
Radak: They are planted on intellect.
2.
Malbim: Pikudim stand against false mindsets in Emunah - "Taflu Alai Sheker Ani b'Chol Lev Etzor Pikudecha" (69), "Yevoshu Zedim Ki Sheker Ivesuni Ani Asi'ach b'Fikudecha" (78). Not only are they against Derech ha'Sheker, which is exposed. Rather, via contemplation, he will know true Emunos of Hashgachah, reward and punishment, and guard even from a small error ("Orach" is a small path) in branches of Emunah and their details.
2)
Why does he hate "Kol Orach Shaker"?
1.
Radak: Intellect distances it.