Electrical – Confused by wires coming from ceiling outlet box

Hoping I can get some help here. Trying to figure out the wiring in my outlet box for a ceiling fan install. I have two black wires, two red wires, two white wires, and then a bare wire for ground.

Primarily confused by the two black and two red. I'd like to the fan and lights on independent switches, which seems plausible with this set-up, however confused by the presence of the two red wires.

If it helps, there are capped red and black wires in the two light switch boxes that should power these fans (there are three ceiling outlet boxes total). The fixtures were removed before we moved in, so I have no idea how any previous fans were wired.

Ceiling outlet box. Ignore the green wire (that's from the attached bracket). Seems to have two red, two black, and two white wires, along with bare ground. Can't seem to figure out the need for the red wires, or why there are two of each.

First light box. Features four total switches. The bottom two are used outside, however the top two should be for the ceiling fan I believe. Sorry the pictures aren't the best, but hopefully this may help a little to see where the wires are connected.

Here's the best shot I could get of the top switch from the first light box with the beige backing. Says that it is SPEC GRADE on it, if that helps anyone.

Here is the one switch on the second lightbox. I'd prefer for this switch to operate the lights, or the whole thing, since the lights will be the thing turned on and off the most.

Any and all help is appreciated. Thank you!