True on all points. Lilongwe, Blantyre, Zomba are very different from the rest of the country.

Malawi has the overarching government but most people only have interaction with people in their tribe. More specifically in their Traditional Authority (TA), kind of like a collection of villages.

There's a chief in charge of a village (maybe 30 households).

A Traditional Authority in charge of several cheifs (several hundreds to thousands of housholds).

A paramount chief who is charge of a whole tribe (several thousands to millions depending on the tribe).

That's the tribal structure which almost kinda acts parallel to the republic of Malawi. For the republic government there are Districts (kind of like states/provinces), and then the national government (parliament, president, and supreme court)

In the less populated parts of the country people tend to interact more with tribal chiefs than the main government. This might have change since the Chewa tribe lost the presidency but idk.