Beginner Gardening: I’m I killing my Palm Tree?, 1 by Totolamo

Totolamo wrote:
I bought my potted palm tree a month a go from Walmart. I re-potted into larger pot (?10”?). To make the top of the pot a bit nicer, I planted some other plants underneath the palm. I have been watering it often and the top soil is always wet and I thought this will help the smaller plant do well. But I realize that my palm tree leaves are turning gray like drying and in this way most of it already gone except for the inner most. I think I am over-watering it but not sure even if the re-potting it self may have done it (but obviously I do not like the plastic container of Walmart). I am using rain water from rain barrel. It is in front of the window and gets most of the light but not direct sun light. It is in the living room and not directly to the AC outlet. I have some pictures to give you idea. Thanks for helping to save this tree.