Are these the questions that I am being asked? Here are the answers. Sorry, it was hard to process the question thing, due to my autism. I know that I'm supposed to listen to stuff like that. Here are the questions and answers:
What is my power source?
12 volt DC adapter, connected to wall
What do I mean by same side, or opposite side?
The wires powering the machine are on one side of the breadboard, and the circuit is closer to the other side, relative to the positive and negative terminal wires, that is.
Do I hear buzzing?
No.
Is that small thing a switch?
Yes. It is a pushbutton switch.
Do the LEDs light up?
No.
Did it work before I added the capacitor?
No, because I never tried it without a capacitor. The book told me to add in a capacitor.
Also, in case it helps, nothing works, the LEDs don't light up, I hear no buzz and absolutely nothing ever happens when I plug it in and push the button. I tested the relay, and then it gives me nothing. I tested it for all of these: AC, DC and OHMs. That happens to be every setting I have on the multimeter. I'm very sorry about not answering your questions, and I completely apologize. Thank you so much for the response anyways. If I left any of the questions out, let me know please. Thanks.