In recent months, the North has tested an array of weapons that include ballistic missile systems that are under development and an underwater drone.
"Their safety as food has not been verified," the Ministry of Food and Drug Safety said in a posting on Wednesday on social media platform X, formerly known as Twitter. "Please do not eat (them)."
The students were sentenced, according to the video, after being convicted of watching and spreading South Korean movies, music and music videos over three months.
In a speech on Monday, Kim Jong Un said he had concluded that unification with the South was no longer possible and accused Seoul of seeking regime collapse and unification by absorption.
North and South Korea remain technically at war because the 1950-1953 Korean War ended in an armistice rather than a peace treaty.
South Korea's military conducted "corresponding" live firing drills on Friday in response to the shelling.
Lee, who narrowly lost the 2022 presidential election, was conscious and being flown to Seoul National University in the capital.
After massive Japan earthquake and tsunami, surrounding countries are hit and issue tsunami warnings.
"If the enemy opt for military confrontation ... our army should deal a deadly blow to annihilate them thoroughly," KCNA news agency quoted Kim as saying.
North Korea vowed to launch three new spy satellites, build military drones, and boost its nuclear arsenal in 2024 as leader Kim Jong Un said US policy is making war inevitable.
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