Question
Are they baby spiders or spider eggs, I had my majesty palm plant indoors and had a candle nearby, I noticed thw  candle had a web and tiny red things inside, and later I took the plant outside (b/c I found out it needs full sun, and saw they spider web things on it and tiny red things on it too- COuld this have made the leaves turn brown and start to die, or do you think it was caused by lack of sun?? I took it outside today and sprayed some schultz insect spray on it and I have even been miracle growing it- with liquid plant food, the granules ya mix up. Please HELLLLLLLLLLLLLP I want this plant to live, I paid like $10.00 for it, and thats alot for me to spend on one plant.  

Answer
Here is a couple of web sites that deal with Majesty palms--most agree that they are not good indoor plants. You should be able to get the information you need from these sites.
http://www.plant-care.com/PlantCareTips/090800.asp

http://mgonline.com/majestypalm.html