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Do not trim anything with any green on it. Leaving this to die naturally will pull vital nutrients back in from those leaves into the main plant. Taking these off will do much more harm than good. It is best to only cut off anything that is completely dead. Otherwise, doing this will leave you with a dead plant very shortly.

This can be a common occurrence, and will be fine to grow this way. This article will give you more information about these: https://www.amazon.com/gp/css/summary/edit.html/ref=typ_rev_edit?ie=UTF8&orderID=114-5117793-0508211

This appears to have suffered severe damage. Cycads will not be able to recover from this kind of damage. It is never good to trim off the dead growth unless there is new living growth to replace it. This is likely dead, or on its way out.

This article will help you to care for them in the future: https://www.gardeningknowhow.com/ornamental/trees/sago-palm/how-to-care-for-sago-palms.htm

There is nothing that you can do to help it, really, at this point. Removing all of the fronds will usually result in the death of this cycad, unfortunately. Sometimes, as they are dying, they can shoot up a replacement pup or two. Just be patient, and you might see a replacement soon. If not, then the plant has suffered irreparable damage due to the negligent pruning.

I notice that all of the growth has been cut off. This will usually result in the death of the plant. The male flowers are, more than likely, the last ditch effort to spread the genetics of the plant before it passes.

There does appear to be replacement pups coming out nearby. Once the large stalk dies back completely, that will be the new pup that takes over. It will be starting over fresh, from the beginning again.

Can you include a photo? This is quite odd. I will be more than glad to help, but I will have to see what is going on.