Answer: It may very well be normal and natural for your palm to lose fronds due to transplant stress. Since it is also producing new growth, I think the worst is over and it will establish its roots and really begin to look healthy. Wait until the fronds are completely dead before removing them. Even a little bit of green means that photosynthesis is taking place and the roots will benefit from it.
Give your palm a few more weeks - I'm sure it will regain its health.
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