When you replaced the solenoid did you replace the solenoid diode as well? It's a fairly safe assumption that you did this as the diode is attached at the solenoid rather than on any PCB.
1J18 disconnected and 1J19 connected and the solenoid locks on at power on ... you have a board problem. You have isolated the playfield switch input by disconnecting 1J18. Focus on the board paths to ground.
1) Path to ground is provided by Q73 (TIP102).
2) Q73 base (the transistor switch) is controlled by Q72.
3) Q72 base is controlled by U45-01.
4) U45-01 is controlled by U45-02 or U45-03.
5) U45-03 is the EN-SS signal that shared across all the switched solenoids. It is initially disabled at power on.
6) U45-02 is the variable input. This is either controlled by the software or the playfield switch. If EN-SS is (correctly) disabled at power on then this input is irrelevant because EN-SS will disable this input.
7) There are supporting components in the circuit to either prevent digital logic signals from floating or over voltage.
You can shotgun replace some components but if that does not fix your problem then you need to either shotgun replace ALL the components or start measuring to determine where the problem is.
I would start by measuring the supporting components (see the circuit image above) as they are easy to measure to see if they test "good". Again ... just because a BJT TIP102 transistor tests "good" does not mean it is "good". Ideally components should be measured in isolation but often they can be in measured in circuit - if you verify against the schematic.
If you end up shotgun replacing Q73 (again) then make a note if the solenoid locks on at power on. Leave 1J18 disconnected at the very first power on to eliminate errant playfield switch input. The solenoid should not lock on. If it does then post this fact and direction will need to be reconsidered.
1) If it does not lock on then enter diagnostics.
2) If it locks on immediately on entering diagnostics then you likely have an errant input on U45-02.
3) If it does not then run the solenoid test and allow the software to fire the solenoid. If it locks on then you should replace the solenoid diode. Make sure that configure the diode polarity correctly.
4) If the tests all pass then power off and reconnect 1J18.
5) Re-enter diagnostics and trigger the solenoid switch manually. Verify that it works the same as software control.
I don't want to insult your level of understanding (I assume your understanding is VERY good as you are replacing PCB components). If you don't understand or need clarification ... just ask. I'll explain. I just don't know what your understanding is and what you want to get out of this repair.
I'm trying to help you. Please help me to help you.