Here's a plot to date.
Full moon was late March, new moon was 4/14, we are approaching full moon again at the end of the month.
Maximum negative declination was around 4/4, the moon was on the equator at about 4/12, and maximum positive declination was around 4/19.
Here's a potential simplified explanation of what's going on:
There was a big storm with NE winds late in March, along with the full moon. Large tidal ranges resulted.
In early April, the large negative (below equator) lunar declination resulted in a larger diurnal component. Smaller tidal range caused by lunar phase.
Around 4/12 the tide looks more semi-diurnal, presumably as the moon is at the equator. I am surprised not to see more tidal range at the new moon around 4/14 (I cannot remember what the wind was doing).
Looks like the diurnal component increases again as we approach 4/19, and the lunar declination is at its maximum above the equator.
I am curious what is happening to the running average tide level. It seems to bounce around a bit. Some of this might be wind (for example the strong NE winds in late March), and maybe some is astronomical.