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It doesn't sound good for survival of the palm with dead terminal growth. You could give it more time to see if it will resprout a terminal bud, but I doubt it so don't get your hopes up too much or spend money. Apply a palm fertilizer and provide adequate water.

It sounds like a palm weevil. These will destroy the tree. This article pertains to infections on sago palms, but the treatment will be exactly the same. You can read the article here: https://www.gardeningknowhow.com/ornamental/trees/sago-palm/weevils-on-sago-palms.htm

I have answered this on the original. This appears to be a duplicate.

I would keep the seeds pruned from the palm. This may help the plant produce more growth instead of spending it's energy on reproducing.

https://www.gardeningknowhow.com/ornamental/trees/foxtail-palm/picking-foxtail-palm-seeds.htm

From the photo, your palm appears to have a stem canker/fungal disease of the trunk. I see the brown decay an cracking just below the frond bases.
Something like this usually takes a couple of years or more to develop to this stage, so it's likely that it came from the supplier with the disease already present.
Do the lawn sprinklers hit on the palm trunk at that point? If so, it could be part of the problem. And if the other palm has the same growing conditions, in the middle of a lawn area, then it could be next.

Foxtail palms are resistant to most insects and diseases. But they are vulnerable to various fungal diseases triggered by over-watering. The solution is controlled watering and good drainage.

This appears to be a fungal issue. There are several ways to treat this, including: cinnamon, clove oil, lavender oil, neem oil, and wettable sulfur among many other methods. This article will help: https://www.gardeningknowhow.com/ornamental/trees/palms-trees/fraying-shedding-palm-fronds.htm