Your description is still a bit unclear to me. In your diagram above, are you passing 5V through the coil of a relay in the box you label “Motor Drive Relay”?
I’m not following what you mean by this statement:
In this statement, to which relay are you referring?
Again, in the following statement, to which relay are you referring?
In the following statement, the function seems backward. If a load is connected to the SSR output and the input of the SSR is OFF, the output should be ON and the voltage between pins 1 and 2 should be 1.5V or less. If the input to the SSR is ON, the output should be OFF
and the voltage between pins 1 and 2 should be very close to the supply voltage on the load side.
The SSR mounted on the DIN rail socket is the MPDCD3-B. Here’s the datasheet for that part. It includes an internal schematic of the SSR, which shows that its output structure is a BJT type transistor.
According to the datasheet, the load current can be no more than 3A and no less than 20mA. If the load current is less than 20mA, it may not operate as you would expect. When the transistor is conducting, the voltage drop from pin 1 to 2 can be as high as 1.5V (probably somewhat less for you, especially if your load current is on the lower end of the specified range, but it will be well above zero volts). Since it is a “normally closed” SSR, the output will be in the ON state when there is no current flowing on the input side (from pin 3 through to pin 4). When the output is in the OFF state (when current IS flowing from pin 3 through to pin 4), the output transistor will be OFF, and it will not allow more than 1mA to pass through from pin 1 to pin 2.
Rather than trying to make this work in your circuit right away, I would first test out the SSR on its own to verify that it works and so you know what to expect when connected to your load.
A continuity tester will not work to test the output of this SSR since the output is a BJT type transistor and not a dry contact. To test it, you could place a small load between pin one and a power source, such as a 5V supply. The load could be as simple as a resistor with a value of about 100 Ohms and rated for 1/2 Watt or more (or two 200 Ohm 1/4W resistors in parallel). You could then test whether it is working or not by measuring the voltage drop across the resistor. When the output is ON, you should measure at least 3.5V across the resistor, if using a 5V supply, and less than 0.1V across the resistor when the output is OFF.