Either the inductor has come loose/broken, or the 4.7uF electrolytic cap is busted. I'd start out by re-flowing the solder joints on the inductor - it is a fairly big part, which can sometimes crack the solder joints
It looks like you've already re-soldered a few pads on the second pic? Check continuity on everything. Sometimes you'll loose contact from the pad to the solder glob and only some voltage will bleed through, you can't tell by looking at it. It's a small board, should'nt be too much work.
um yeah. I would take your iron, heat it up and suck away as much on the parts you circled. You are jumping parts of the circuit when you bridge like that.