Local problems would be problems you face around you.
The local problems would be less car parking space, women safety, children safety, pick pocketing, drainage problems, shortage of clean water , basic shops are faraway (depends where you live) etc.

National problems would be problems the whole country faces together.
These problems would be national security, fuel prices, jeopardy of wildlife, women security, job shortage, population explosion, poor economy, growing infrastructure, language barriers, culture barriers, food shortage for poor, economy gaps etc.

Hope I helped :)

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The Local problems are:
Supply of electricity in rural areas,
Proper Sanitation methods
Unlawful use of land

National Problems are:
Encroachment on Monuments
Women dignity and safety
Attacks from outer countries
Economic backwardness. 
local problems.: inadequate water supply for irrigation