Are there common/well-known (and hopefully curable) reasons why a plant's flowers would fail to open?
The plant in the pictures below has remained in the same earthenware pot - about 45cm at the top, tapering down to 30 cm, and about 40 cm tall - for at least the four years since I inherited it along with a property purchase.
Notice that none of the flowers have actually opened - they've actually been that way for a good four weeks at least. The same is true of the entire plant: not one flower has actually opened! Some have even started wilting without having ever even opened - as in the first picture. I'm almost certain this is the first year the plant has behaved this way - I'm nearly sure the plant was "unexeptional" last year, just going through a "normal" cycle of flowers budding, blooming, and dying.
What are reasons this might be happening? And is there anything I can do to help the plant get back to being healthy?
Also, I'm curious if anyone can help identify the plant. The plant is in southern California, but I have no idea if it is native to the area. I don't think I've seen it anywhere "out in the wild" locally.
Update: As requested, posting a fuller profile pic of the plant with non-opening flowers:
Here's a picture of its neighbor plant - not five feet away. Other than the neighbor plant's flowers being more fully pink than the "sick" one's white/pink mottling, I'd have said they're the same type of plant. Interesting that the healthy one grows far more upward than outward, which the "sick" one seems to prefer.
Lastly, here's a closeup of the healthy neighbor plant's fully opened flower: