1)
What is the connection of the two halves of the verse?
1.
Radak: Torasecha is the opposite of Sheker. I hate Sheker and love Emes. Malbim - one who loves something, he hates its opposite. Your Torah is all Emes; Sheker opposes it.
2.
Orchos Tzadikim (Sha'ar ha'Sin'ah DH Yesh Sin'ah): The more one hates the ways of Sheker, he increases love of Torah.