Looking after plants in pots is a lot of work. The palm looks like it needs more humidity, but it's more likely due to the size of the palm in a too small pot that it's not getting enough water and nutrients. The roots are likely filing the pot and water will run straight down the sides of the pot. If it is Phoenix roebelenii it can take some neglect but it needs room to grow and food.
http://www.palmcentre.co.uk/pr...
It's best to use a soil based compost, artificial mediums become caked. Most plants in the wild grow in soil. Artificial composts are only suitable for annuals. Growing in pots requires added grit or small stones, I find leaf mould added makes a good mix. If you can get river soil that is best as it usually has a grittier texture.
Daisy, I think some else posted one like the last plant recently, it must be with other plants. Maybe Dieffenbachia picta?
http://www.caribbean-plants.co...
http://produto.mercadolivre.co...
We have one in the database named Dieffenbachia seguine .. they all look different.
Dumb Cane (Dieffenbachia seguine)
https://www.google.co.uk/searc...