I guess problem has not yet been resolved based on the TESP), but frankly I am not entirely sure how to determine whether the system is operating properly or not. In other words, it should not be a matter of opinion, but what would constitute sufficient "proof" of proper operation without comparing electricity usage during months with similar temperatures...
I'd turn the outdoor unit off at the circuit breaker and set the thermostat to cooling and crank the temperature down so the fan stays on. Wait 7-8 minutes so that it is out of the low flow mode... or set the DIP switches to disable that feature.
I would then try a plain fiberglass filter to get the TESP reading within the published manufacturers data without extrapolation. Then you know how much air the fan is moving in the cabinet... or do you?...
I would then measure airflow at all supply and return openings with a flow hood. This way you know how much air is going back to the furnace and how much is being delivered. Yes, it could be wildly different from the assumption based upon the TESP reading and fan chart due to leakage.
If possible, take a traverse at the supply and return to corroborate the other measurements. Average them if necessary.
It takes a while to do this.
Once you know what the system is delivering without the AC on, turn on the AC and take another airflow measurement wherever it is easiest to do so, and correct the reading in a similar fashion to the other set of measurements. The wet coil will alter the airflow. Make sure that the system is not in low flow mode and the condenser is in high stage.
Yes, airflow measurements are a PITA and you are trying to hit a moving target.
After all of this is done, you will know how much air is moving through the AC coil... or at least a very good guesstimate.
Then turn on the AC unit again, wait for it to get out of low flow mode or disable it. Make sure that the condenser is in high stage.
You now need some wet bulb and dry bulb temperature readings from the ductwork and an enthalpy chart. With those numbers and the measured CFM, and a formula, you will know exactly how many BTU's your system is delivering at the equipment at that moment. The temperature readings need to be completed closely (time-wise) because the conditions change when the AC unit is on.
Just for S&G's, I would measure the pressure drop across the AC coil when it is dry (fan at cooling mode speed) and when the coil is wet.
There is diagnostic equipment available that can do all this (calculate capacity) in real-time.
This is the only way to get "proof" of how the system is operating... and it is just the beginning step of corrective action.
The engineering data for the evaporator coil will list capacities at a given CFM and return air wet bulb temperature.
If you do not have the BTU's at the equipment, then you need to correct the equipment mismatch problem (engineering data), refrigerant charge problem or airflow problem. It could be a combination of any of these.
If you have the BTU's at the equipment and good airflow, then you are losing it in the ductwork.
Comparing electrical usage would be pointless because the system is not the same.
Ok, so now you have the "proof", but what do you do with it or what good is it? By hand, it takes a lot of time to gather all of the data. The equipment that does it for you is not a casual purchase for most.
I know that the system isn't working because you don't have the airflow. I can tell that from here.
Without the airflow, you don't get the BTU's, because the formula uses CFM. Low CFM = low BTU's- always.
You also have equipment that is installed outside of manufacturer specifications.
It is impossible to charge the AC properly due to the low airflow. You can "make" it work, but it will be short on charge.
The equipment needs to be installed to manufacturer specs.
If you have a fan rated at 0.5" of water column, then the restrictions imposed by the air filters, evaporator coil, supply ductwork and return ductwork have to add up to 0.5" of water column or to a number that still allows the fan to deliver enough CFM for the system to work.
A room by room load calculation will tell you how much CFM each room needs, and then the ductwork needs to be sized accordingly. This would need to be checked against what you have now. Spot measurements could be taken with a flow hood. Extensive changes could be required.