I raise, culture and sell frogspawn. I've had the same colonies for nearly 12 years, so I can probably give yo usome advice. First a couple questions:
1. Where is the coral placed in the tank in relationship to the lights? Specificaly, are the heads that are not opening on the bottom?
2. Frogspawn heads can easily be damaged when opened, so has the coral been cut or damaged in any way while it was opened? This would include the new fish or any other fish picking on it? So, what fish do you have? There are times when it takes fish a few days to figure out how to pick at a coral without getting 'stung.'
3. Is your temperature spiking during the day with the lights on?
4. Are the closed up heads white showing pure skeleton, or just the flesh not opening. A picture would go a long way to a diagnosis.
Let's start with those questions to assess. Regarding 'will it die?' Well, it could, but Frogspawn are pretty forgiving once established. The primary concern is that you do not have RTN (rapid tissue necrosis) on the coral, which can indeed spread from head to head and rapidly kill the entire coral within a few days. If there is any sign of flesh on the closed skeleton, then it is still technically alive.
Best of luck and God bless.....