Those first photos are of binding posts. They are directly connected to the speakers. If they aren't labeled, then you should go beat someone up who installed them. After that, you want to connect a piece of standard speaker wire to each PAIR of binding posts. One will be red, the other will be black.
More or less follow these directions:
https://www.lifewire.com/quickly-test-speaker-connections-3135135
Use a AA or AAA battery, and with someone else, find out where the speakers are which are at the end of those binding posts. Typically a pair of binding posts is for ONE speaker. Each speaker has a positive and negative terminal. So, your first photo, with four binding posts, indicates two speakers (one pair).
In the first photo, the red binding posts are on top, and I'm guessing the black ones are on the bottom. In the second photo, the black appears to be on top, and the red is on the bottom. So, the key is ensuring you are doing the red/black posts together, to a battery, then applying/removing power from the battery to get movement from the speaker.
The last photo is of RCA jacks. I've gotta tell you, I have no idea where those go. Those typically are for connecting your sources to an amplifier, or a distribution system. You want to go looking about and see if you can find a matching set of RCA jacks somewhere else. If not, then you want to pull those off the wall and take a few photos of what comes out of the wall and post them here. We may be able to help.
Those may (MAY!) be for a surround system with locally powered speakers in the main family room. As the black RCA jack would be a likely subwoofer connection, and the other 6 RCA jacks would be for your left, right, surround left, surround right, center, and back speakers... Maybe. Weird to have RCA connections instead of a plate that's more like this:
Also, you can see how that image is very well labeled.
Let us know.
