It's an azalea. It's been pruned to a tight shape, probably by the cemetary maintenance crew. There are many varieties - different colored flowers, different sizes, so you or your sister should ask about that when you buy one. Sorry for your loss.

Hello Oboedire, is the second one Solanium laciniatum; Kangaroo Apple, you might need to Google it to see the variations as the pic doesn't show the petiole junction at the fruit. Again try Google for this one; sandpaper fig. I know that the fruit grow along the branches.

But they are not a problem in some areas. Usually they should not be pruned regularly, but left to grow into a small tree. Allowed to grow this way, the foliage tends not to be as prone to disease issues. Where are you located? Here in zone 7a Northern VA, disease is not as big an issue as further south, or on the West Coast for some reason.

Not dogwood. It is a bit out of focus and I can’t see how the leaves come off the stem, but perhaps Malus which includes apples and crab apples.