The handle screws have at double trace. If you put them in the wrong trace in the handle, it will strip the handle. The only remedies are a new handle, or larger screws.
The latch parts may be worn to a point where the adjustments will not compensate.
Pushing the striker away from the glass may not make any difference, because the striker may not actually move closer to the body. The only way to make the striker in closer proximity to the latch is to move the latch up. As the latch wears, the catch will get slightly further away from the striker. Other than that, the small parts inside the latch may be worn as well. The striker may also hit the frame of the latch before it moves it far enough to trigger the latch.