I think you have narrowed it down to either the K2 FR (Fuel Relay), or the TDM (Time Delay Module).
It sounds like the K2 Fuel Relay is not maintaining voltage to the white/blue wire. This could be a bad K2 FR or TDM
The Green/White wire comes from the Time Delay module and goes to BOTH the K2 Fuel relay's coil AND to the Fuel Shut Off Solenoid. The TDM also provides the ground to the K2 FR coil.
You could swap in a new relay for K2 FR, or swap K1 Start Relay from the tractor.
You could check the wiring to/from K2 relay.
K2 relay will have 4 wires:
1) Lt Green 658
2)White/Black 451
3)Green/White 655
4)White/Blue 650
1) Lt Green 658, is the relay coil ground. The TDM grounds this wire to activate the relay.
2) White/Black 451, is 12volts from the ignition switch (KEY Switch) it will have 12 volts, Key in RUN. Use your meter and check for 12 volts
3) Green/White 655 is same as Green/White 658 to Shut Off Solenoid. (Number changes because of a splice) Use your meter to check for Continuity (Meter on OHMS) White/Green at X5 connector to terminal 3 White/Green wire at K2 FR
4) White/Blue 650 is same wire as White/Blue 651 to Shut Off Solenoid. Check it for continuity too.
The way to check the above two continuity checks is with the relay out and meter leads to the relay connector at the wire color indicated.
If the relay is OK, you have voltage to 2, continuity of 3 & 4 is OK, that only leaves the Lt Green wire. Either it is broken between the TDM and K2 FR or the TDM is NOT grounding it. You can check continuity from the 1 Lt Green wire at K2 FR and the Lt Green wire at X4 which is the connector to the TDM. If it has continuity, then the wire is not broken.
One last thing you could try (after trying all of above) is bypassing the TDM ground for K2 FR (1 Lt Green wire). To do this you need to attach a wire to the Lt green wire either at the K2 FR or X4 connector (try inserting a stripped wire into the back side of the connector) and ground the other end of this wire. If bypassing the ground function of the TDM fixes the problem replace it.