Samuel John Porter, of Alexander Road in the town, is charged with threatening to destroy property, common assault, disorderly behaviour, and theft.
He is further charged with assaulting and resisting police and criminal damage.
All the offences were allegedly committed between January 10 and February 21.
Derry Magistrates Court heard allegations that the injured party saw the 41-year-old in her ex-partners home and he began screaming at her from inside the house.
He allegedly called her ‘scum’ and a ‘fenian’ and said ‘if you don’t sort her out I’m going to burn her out’.
The court heard the woman was ‘fearful’ to return to her home as a result.
It is further alleged he stole £60 from the man’s home and said he wanted to buy drugs.
He also allegedly kicked doors in the house and when a woman tried to stop him he punched her in the chest.
The court heard that police attempted to locate Porter but were unable to do so until the weekend.
When police attempted to arrest him he was allegedly abusive, calling officers ‘f****** c****’ and threw a can of beer at them.
CS spray had to be deployed and Porter allegedly struck an officer on the hand, drawing blood.
District Judge Des Perry refused bail for fear of further offences.
The 41-year-old was remanded in custody to appear in court again on March 23.