Make sure that the enamel? is completely removed in the areas where you are going to solder. If the holes they are going into are plated through holes? ie PTH then as a temp measure you can use a finer gauge wire such as stripped out? Cat 5e wire which is pure copper once the PE insulation is removed andtack the copper lead outs of the transformers just to the top pad. Then once the whole thing is working you can move the lead out wires? back to fully installed.
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The? wire going from the BN transformer near words? that look like? C202 on solder mask looks very suspect.? You can heck as soldered connections if you remove a a little more insulation on the magnet wire of the coils so can get one DVM probe in there and one direct to the PCB rondel to check? continuity.? ? If there is ANY doubt at all that the PTH are really? plated through then have enough tinning on the copper? that you can solder both Top? and BOTTOM side? (taking care not to burn components );? ?that will fix the bastardo.?
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But you would then never know which particular through hole had the issue.? Never mind - it's a one off not a production jobbie.?
Timothy Fidler