We have a newer door and handle (fiberglass door and Schlage handle and lock) that I caught leaking during the storms last weekend. The door and handle are less than 2 years old so shouldn't need replaced. The door does not have a storm door and is subject to strong direct wind and rain.
This is an odd place for a leak as normally it's around the perimeter of the door but this leak is coming through the handle itself. As you can see from the pictures of the leak, there are water marks where the handle was removed, and oxidation starting to build on the bottom of the lock cylinder so definitely a presence of water.
This must be an odd place for a leak as my searches and remedy possibilities turned up nothing. My initial thought is place a bead of caulk on the outside of the handle on the exterior facing portion but I didn't find anyone doing this and it will make removing the handle (when needed) a bit more messy. I also checked and the lock was tight. However there is no inner rubber seal on the door handle so metal-to-fiberglass tight isn't obviously water tight.
How should I fix this? Is there like a rubber seal made for handles I can put on the exterior of the handle to help it keep water out? Should I try to seal the lock cylinder too on the side of the door? Should I just go ahead and use caulk/sealant? Thank you