Masonry protruding entrance water protection
I don't like the plan &amp; only think your plan, which will work fine, would only perpetuate errors. You got rid of the siding, so now it's time to get rid of the trim.

The trim should not be there AT ALL &amp; top rightfully want's off anyway. The bottom entrance should be exactly like the top window. Nothing sticking out &amp; stucco right over the existing top lentil, which is currently covered by the entrance trim.

That trim looks to be just face applied 1x3 enveloped in flashing &amp; should pop right off. If anything goes on the wall, I'd vote for giving yourself an upgrade over the doors. Do a 2' or 3' Awning Roof over the door, just Tapcon &amp; Lag a 12" tall (whatever pitch you desire) triangle cage into the brick mortar (never into the brick) &amp; then Tapcon aluminum flashing over the awning roof's seam to then stucco over.