The #1 song on Tuesday, April 5th 1983 was:
Billie Jean by Michael Jackson
See more at: billboard.fm/birthday-song#sthash.YFooDCMG.dpuf
Your parents were probably having some fun to the #1 song on Monday, July 5th 1982 which was:
Don't You Want Me by The Human League - See more at: billboard.fm/birthday-song#sthash.YFooDCMG.dpuf