Somehow I missed your post, benjihad...
This will be fixed in the next release, which should be sometime next week. Currently, it only happens until you open the weapon meta dialog box, as you mention.
I don't know if I follow. I recommend creating item records (accessed through the 'Items' icon in the sidebar) and dropping them into the inventory, which will auto-create a weapon entry on the Actions tab. I think that's what you are doing if I understand correctly, so of course, the damage type is supposed to transfer. By design, only the first damage clause transfers to the weapon list and only one range type - so a dagger will create a ranged entry but not melee. I will take a look and hopefully have it fixed for the next release.
I was blind to the magnifying glass button on the 5E character sheet also, but it became much more obvious once I realized it was there. I want the buttons to be consistently placed across tabs, but if I have time, I will experiment with a different button icon/color to make it more visible.

