The 20-year-old is accused of possession of items for use in terrorism as well as criminal damage, making threats to kill and possession of a weapon and of ammunition in suspicious circumstances.
Two men, aged 43 and 18, face aggravated burglary, threats to kill and possession of an offensive weapon charges.
It follows an incident on Friday morning when men forced their way into a house in the Hollymount Park area of Derry.
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