Yes, you can run speakers directly from the S4 using either RCA or TRS outputs from the S4. I'm pretty sure you can also input a mic into an S4, although I've never done it. You'll need TRS cables from the S4 to the PAs, or TRS -> SLR cables from S4 to PAs.
I live in a world without light, so can't tell you anything about lighting.
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