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If the plant is potted, the brown fronds could be an indication that it is root bound and not getting enough water. This article will help you check for that:
https://www.gardeningknowhow.com/plant-problems/environmental/root-bound-symptoms.htm

If the palm is in-ground, especially newly planted, there may be air pockets in the soil, which are preventing the roots from taking up water. This can be alleviated by flooding the area with water and tampling down the soil around the plant to collapse any air pockets.

Indoors they need lots of humidity, so misting should help with this. You can also cut away any of the brown growth. You should also check the soil to ensure that it is not too wet, which can lead to root rot and the wilting you are seeing. Water only when the topmost part of the soil is dry. Here is additional information that may help: https://www.gardeningknowhow.com/houseplants/palms/growing-palms-indoors.htm

It really depends on what kind of palm tree you are planning on planting. Do you have any ideas on what kind you want to plant?

This article should help: https://www.gardeningknowhow.com/houseplants/areca-palm/growing-areca-palm-indoors.htm

Manure makes an excellent fertilizer in early spring. You can also use a palm tree fertilizer high in potassium. Taken from this article: https://www.gardeningknowhow.com/edible/fruits/date/date-palm-tree-care.htm
The preferred formula for palm tree fertilizer is either an 8-2-12 blend, or a 12-4-12. Always follow package direcctions.
Some palm don't have a straight trunk, and "lean" to the side. This depends on variety. If your plant is one that leans, don't worry.
I had a horrendous expereience with a home remedy containing Epsom Salts and a greenhouse full of Boston Ferns. Since then, I just can't trust home remedies.