have you been dosing anything for Alk as it is going up? Is it new Trident? If new Trident I would wait until it has been going a week and then calibrate it and then confirm results with another test kit. If Alk is really less than 7, I would raise it and get it to your desired level and keep it steady prior to adding corals to the tank.
For PH, I would check the calibration (stick the meter in calibration solution and see if it gets the same reading) to make sure the reading is accurate. If it is accurate, I would try opening the windows and see if it raises to see if CO2 is the culprit. If CO2 is the culprit there are plenty of threads going here that can discuss ways to address low PH.
Good luck on the tank and looking forward to following the progress.