no, you need everything from the LCA upwards. so, you need.
- AE86 Camber tops
- LCA
- Hub carrier/stub axle/Steering knuckle (obviously with the hub still attached)
- Brake rotor
- Brake caliper
you will have to slightly modify the S13 Control arm to accept your caster rod input, or modify your caster rod mounting to accept the S13 caster rod.
I'm using Kei Office coilovers in my opinion they are the best to use, but whatever you do! GET BASE ADJUSTABLE COILOVERS! A Friend is using JIC coilovers, they are slightly short with the standard spring.
Edit: sorry, i misread your post. The only modifications that need doing are the LCA, and if you don't intend to run AE86 camber tops, you have to elongate two of the top holes in the tower.