Maybe a colleague explain how he measured these tensions? With the luminaire connected to the power supply? Did each of them emit any light?
It seems that only those pairs of LEDs with a voltage of ~ 6.0 V are ok - the rest is damaged.
I would suggest to check each pair of LEDs separately by setting the diode test mode on the multimeter. Each of them should emit light. Missing is either a break or a short circuit. Use a marker to mark those that are inflexible.
Does your friend have a DC power supply, e.g. 5.0 VDC? You could choose a suitable resistor (22 Ohm / 0.5W) and power each pair of LEDs through it. Then you will catch the crap on the bank.
Ps. Some of them began to glow slightly because you were closing a circuit through which a small amount of current flowed, sufficient for this minimal light emission.