When i turn the egnition I get the same effect as you would if the battery was dying, but it activates the wipers, lights, and indicaters

With the battery light being on indicates the alternator is not charging . That can cause other electrical issues . Take to an auto parts store an they will test it for you. or take it to a ASE certified repair shop .

Sounds like its in your main egnition circut. Try turning the key back slighty when the car is started. Relay may not be disengaging.

Sounds like the battery is discharged due to a bad alternator or loose belt on the alternator.

broken belt comes to mind? If the a/c squealed that ment it locked up. If it locked up? the belat cant turn it, Creating a burn out effect, Hence breaking the belt. Replace the A/c Pump and belt. You will be fine, Unless you overheat the engine from no belt turning the waterpump???

You have a short to ground on one of the circuits.You will have to try unplugging one thing at a time to find it.Unplug the wiper motor first,then take out the park light bulbs one at a time until you find what is causing it to blow fuses.Water in the bulbs will do it.Shorted wiper motor.More than likely it is in one of the park light bulbs/cicuit.

sounds like a battery problem to me i would get it tested or try with a differnt one regards

I had the same problem, Youl need to do one of the following, Change the eginition module or change the driver side control pannael the one for the window/locks (if you can crank the key a bit when its turned off it may help sometimes) sometimes a bit of rain comes in the window and down into the control (locks/window switch) and shorts it out. Trust me I spent time and money to figure out its that or your egnition module. EBAY for the parts it will only cost $100

Sounds as if the alternator is not charging the battery. Check the alternator for voltage it should put out around 13 volts at idle and normal operation. If it charges then the battery is defective. A good place to start is clean the battery cables to remove any corrosion and make good contact. Many an electrical problem has been solved by cleaning battery cables.

Is that capacitor wired in such a way that it could be feeding back? I'd remove it for a while & see what happens.Hopefully some damage hasn't already been done, if that was the cause.