1992 Dodge Shadow

Chad, the ignition switch gets its power thru an orange fusible link, it may have burned. The key in the cranking position finds its ground thru the starter relay to the nuetral switch on the transaxle. I think you may have on open in that fuse link or a bad switch. The test light and testing and repair information is layed out nicely by the 2carpros menu.
Test fuses with a 12volt test light. You can buy one pretty cheap at the site store. Check for voltage on both sides of the fuse links near the battery, they supply the ignition switch with voltage. A wire is sent to the computer through the switch also for computer use. It energizes the fuel pump if it reads a cam signal(distributor).