98 grand prix gt no start

[87IROCZOWNER69]

Threw the new battery in (turns out the old one was bad) and tried to start it. The car has more power now but the starter still punches the flex plate. I went ahead and jumped the starter and wala it started right up after scaring the crap out of my sister lol. So I shut it off and tried to jump it again but it was a no go.....However this time around the key worked. So I let it run a bit and shut it off. Then after turning it off the key didn't work again so I jumped the starter and it worked again. Should I try smothering all the wires down there in dielectric grease or where should I go from here?

[Sven the Sexman]

Threw the new battery in (turns out the old one was bad) and tried to start it. The car has more power now but the starter still punches the flex plate. I went ahead and jumped the starter and wala it started right up after scaring the crap out of my sister lol. So I shut it off and tried to jump it again but it was a no go.....However this time around the key worked. So I let it run a bit and shut it off. Then after turning it off the key didn't work again so I jumped the starter and it worked again. Should I try smothering all the wires down there in dielectric grease or where should I go from here?

Sounds like the ignition switch went dead.