That DP-03, is a fine little device. There is no need and there is no reason, to plug your PA into that DP-03, no reason whatsoever. Certainly not as an input device. It's a PA system it ain't a recording system. And your DP-03 is a complete all-in-one digital audio production system in a box.

What you will need is an inexpensive pair of powered control room monitor speakers of at least having 6 inch woofers or larger. Because your PA system is Mono and is wholly inappropriate for control room monitoring use. It's a PA it's not control room monitor speakers. And there is a huge difference between those two. So you've got a half complete recording system from what you're indicating? And a real basement recording studio would have something more than that toy of yours, to use. Because it's a toy. Great for personal enjoyment and pleasure. Certainly not great for a studio. So it's really not a basement studio until you equip it with actual control room style equipment. Otherwise is just a hobby and you shouldn't worry about anything.

So, yeah, you skip the PA. Though it could still come in handy for things such as re-amp of back fed tracks to the PA system. Where in the room, you would place a couple of microphones and record that PA system of what's coming out of that particular track to create a big room and broad stereo feel to an otherwise mono recording of a guitar. And so you would use your PA system on the output of your computer audio interface, to feed the PA system. And you would record the PA system with a couple of microphones as if it was a couple of channels of vocal or other instrumental overdubs. So in that respect, the PA system is usable for that purpose. But it is certainly not a piece of professional recording equipment. It's a hobby device.

So what else are you going to equip your studio with?
Mx. Remy Ann David