I still think that only ICs can take -5V rail to positive voltage, because there are only ICs connected to the -5V rail and resistors. Resistors are less likely to fail. You should check/desolder U3, U4, U5, U9 and U15 - opamps and an analog switch IC. Then if you don't get -5V, you should check individual resistors connected to -5V rail with ommeter.