i don't know if the burning out of the headlight fuse is coincidental or symptomatic of something electrical but i would do the following then report back:
1-remove fuse box cover. you'll see 3 relays. they are ignition....start...key switch. check and test all 3 and replace if questionable. they are cheap and cross over to an assortment of both ford and chrysler vehicles.
2-check the diode fuse and it's directional pointer. compare to the diagram under the fuse box lid.
3-charge battery and test. you want approx. 12.6 volts DC.
4-try it again and see what you have.