Tips for door weatherstripping

Today, I replaced the weatherstripping on my doors, as the original strips had been in place for over 16 years. Some had dried out, while others had developed gashes from wear and tear over time.

My doors and trim are white. Here’s the finished result after installing the new weatherstripping on my side door.





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The "light" that you see or what appears to be light is the actual weatherstripping, except for the very bottom. To combat the light that actually gets through, I ordered these:



By comparison, here is another door (rear door) where I installed the weatherstripping as well. This door seals perfectly. It also appears the door frame might be a tad bit smaller (not as wide) as my side door frame.



From what I can tell from the outside and inside, my doors are "sealed" and no outside air is getting through, except for the one little spot I mentioned earlier (I need to confirm this with a thermal gun). I'm not crazy about the "gap" of the side door that I see --- it's most likely always been there and I didn't notice it because the previous weatherstripping was a dark brown/black.

I’m having an issue with locking my side door. The top lock is a deadbolt, and the bottom is a dummy handle with no lock. To lock the door, I have to push it against the frame to allow the deadbolt to engage; otherwise, it won't line up with the striker plate. The weatherstripping is installed correctly, so I’m wondering: what can I do to allow the door to close and seal properly without having to apply pressure for the deadbolt to engage? Will I have to adjust the striker plate? Or make an adjustment to the door hinges?