2001 Dodge Caravan Sport

Two days ago: The radio and heater would turn off when you put it in reverse and sometimes while in drive. Shift into reverse - instant radio off - shift into any other gear it would work most of the time. There was no jerking or anything when shifting between gears. Checked all the fuses. All fine.

Today: All boxes are selected for all gears, Shift into reverse, radio and heater works. Drove less than a mile and it started dieing. It would start right back up, Then it seemed like it shifted into neutral all by itself High RPMs. Now its in my driveway. Disconnected battery for 5 minutes. Same problems. When I put it in drive it takes a lot of gas pedal to move it a little like its in the wrong gear. The speedometer isn't working. I'm thinking speed sensor, but what would cause problems with the radio and heater?
Thank You