Factory sub wires and lc2i

Hey guys and gals so i have a question here. I have a ram sport 1500 with a alpine premium system and factory sub.

Now ive bought new subs and amp. Also bought a lc2i. My question is can I just connect this lc2i to the factory sub wires? There's 4 wires going into the factory sub so would i connect all 4 to the lc2i left and right speaker input?

The power wire from amp i can connect to lc2i and same with ground?

For the remote on wire i would go from amp to remote in on lc2i or remote out?