In reply to dean1484 :
The bungee cord keeps the door from swinging open when it comes unlatched, but it's not a good daily solution in Oregon rain.
I'm thinking that a broken latch has to be the problem. I've adjusted both the latch AND the striker as far as they reach, so I'm guessing something inside the latch has gone Tango Uniform. I need to revisit the YouTube videos on removing the lock cylinder, as that's the last hangup to getting the old latch out and the "new" (well, eBay find) in. I'm just hoping someone will have a Secret Bavarian Trick about aligning all the bars and hooks and having it just magically fix itself...
Thanks!