The one that I have is the same as the second one. The label starting "F-TC.." on the inductor is even at the same slight angle. The transformer in the middle runs at high frequency.
The plastic mouldings have spaces to hold what looks like a conventional transformer. The model is an AL2215CV and the instructions (
here) show that there is a lower rated, but heavier, charger, the AL2204CV, that is the same size. I guess that is what charger 1 is, and that the transformer that's not shown is a conventional one.
The MOSFET on the primary side is a F3NK80Z. There is a 2n3904 transistor on the primary side in the corner of the board.
The IC in the middle is an LM324. V12 and V15 are BC546 and N2 is a TL1431
The IC in the corner seems to be a special one. It's got the ST logo, manufacturing code and country code, the same as the LM324, but the part number just seems to be 07502221
There are no components on the bottom. For a 2010 build, that's a surprise.
I don't know how much help this will all be. The're not going to be easy to fault find. The one with the conventional transformer will be easier.
There a several second hand ones on Ebay in the UK