Two things. First water and the C.O.P - coils is sure for trouble. The packs have a conductor inside enveloped in a insulator material that dries and rots. The voltage wich is up to 35k will find any hairline crack, or pinhole to escape to ground. Check the coils for small holes the size of about a milimeter or less in the rubber boots at top-neck and bottom.
Check that stem does not turn or is loose from the top part, check for any cracks on the stem. Also you can turn the vehicle on with the coil sitting on top of motor and see if sparks jump. Check each one.
And secondly check your fuel pressure. I think you said it stabalizes after 2000 rpm, but check. You can spray starting fluid in the throttle body by the filter and it engine smoothes out then you have an issue with your fuel or air fuel mix. The fuel pressure when running should be about 40 to 45 steady.