Oh wait, I figured it out!
What we are looking at is the sum of four sweeps with no timing reference. No timing reference means that REW can't sum the four sweeps properly. That is what is producing the train of four impulses. And because the impulses are delayed relative to each other, that is what is producing the comb filtering! In other words,
you are looking at a measurement artefact caused by improper summation of four sweeps.
So you need to:
1. Use a timing impulse with all your measurements. If you are having trouble with "low level", try using a loopback timing reference. You will need to connect an unused output on your interface to an unused mic input with an appropriate cable. Make sure you turn off 48V Phantom power on that input. Maybe your interface supports software loopback, I don't know.
2. Load a microphone cal file.
3. Use REW's soundcard linearisation procedure.
The only question that remains is why the microphone sensitivity is so low. I can tell you from my own experience that the ECM8000 has fairly low sensitivity compared to my Earthworks M30.
This is a comparison of my Earthworks M30 (green) vs. ECM8000 (purple). Both have appropriate cal files loaded. Both are nearfield measurements of the tweeter. Both have the exact same settings on the interface. Notice that the ECM8000 has about 30dB less volume than the Earthworks, and the shape of the curve is different.
The published sensitivity of the M30 mic is 34mV/Pa, and the ECM8000 is about 8-10mV/Pa. The 20-25mV/Pa sensitivity translates to 20 * log10 (20/1000) = 34dB, so my measurements are in line with what you would expect. Also the ECM8000 is a rather cheap microphone, I would imagine that QC would be quite poor, so some batches may be less sensitive than others.
If your interface does not have enough gain, I can imagine that you would struggle with microphone sensitivity under certain situations causing REW to complain of low measurement volume. I don't normally recommend that you measure too loud since you will likely get a different freq response. But in this case, I think that you have no choice.
I am usually reluctant to recommend equipment purchases, but I think you may have to borrow another microphone and compare the measurements. Just for a sanity check.