The correct answer is `4. None`.

Explanation:

1. North Kivu and Ituri are regions in the Democratic Republic of the Congo, not connected to the war between Armenia and Azerbaijan. The war actually refers to the Nagorno-Karabakh region.

2. Nagorno-Karabakh is a region disputed by Armenia and Azerbaijan, not related to any insurgency in Mozambique. An Islamist insurgency is ongoing in the Cabo Delgado region of Mozambique.

3. Kherson and Zaporizhzhia are regions in Ukraine, they are not directly connected to any dispute between Israel and Lebanon. The Israel-Lebanon tensions revolve around the southern Lebanon border areas and offshore gas fields.

Hence, none of the regions mentioned in the pairs are accurately matched with the reasons for appearing in news.