My own view is that at REST at the dock, the packing gland should be adjusted just tight enough so that there is NO drip. Do this by finding the point at which there is one or 2 drips a minute then tighten 1/8 turn. If no drips evident after a couple of minutes...that is fine...if drips...another 1/8 etc.
Check when underway that the shaft if not getting too hot to touch. and if so...back off a bit.
The water you are getting is no big deal if it is from your packing gland but given your recent repairs, you need to be sure that the gland is where the drip is coming from. Put some paper towels underneath is and see if they get wet! It is normal for the gland to drip more underway than at rest.