Most palm seeds do not like to be planted in individual cells. I do not have experience germinating the palm in question. For all the palms that I have germinated I use bottom heat at 95F planted as close together as possible. Some seeds like to be stored in a fridge before hand then soaked in Water for a couple days. Here is the only information I could find on your palm for germination.
The optimal germination conditions for seashore palm seeds include prolonged exposure to high temperatures from 90-100ºF (32-37.8ºC) and high humidity. Keep the seed moist at all times.
