That first line has always bothered me 'cause I wish I knew what it meant too...but one day I thought I figured it out - think of it like this:
Precious ladies love you. Love ME!!
(Love me, instead of those other girls!)
I don't know, that is my best guess.
As for "Come down heavy," I'd say that's like "coming down from that cloud." Unfortunately, she can't keep dreaming about this guy...