@cassandradover Start off with the easy things. Disconnect the power from the computer by unplugging the power cord from your computer. Disconnect all external devices from the computer. Remove the battery Now hold the power button depressed for about 30sec-1min. Reapply the AC power adapter and see if your computer does show any sign of life.
This "power indicator flickers and nothing comes on" sounds like a bad battery. Get an ammeter and see if your laptop draws any amperage from the charger. After that, you need to check and see if your motherboard even gets power. You will also have to check the switch as well For that of course, you need to open it up. Post Some good pictures of what you see. That way we can see what you see. [guide|21499]