I spose "doctors" because they 'doctor' people's hearts, ie. screw around with them. Although since they're sticking them with arrows, I wouldn't hire them myself.
I was about to suggest amorini - see here but I still can't quite make it add up. [CdM] Re Mile End - no it was a clue eons ago - not yours. No-one's done my little çontrol mechanism (6,6) yet. As for the bust thing - I'm completely stumped.