The male terminal looks like this.



If you use a pair of needle nose pliers to squeeze it narrower and it will then slide out.

and this is the female.



You will need to stick a small screwdriver/metal stick to depress the tab shown on the bottom of the picture. It will then slide out.

they are available at Napa

or at
www.happyterminals.com

Hope it helps.

Now the reason that wire burnt may very well be from too much current flow to the coil/ignition system. You don't get more power out without more power in.

You may want to use a relay to power the ignition system.