What are the problems with explaining the reasons for inflation and unemployment?

One is that your audience may be bored and fall asleep.

Definitions:  What is Inflation?  Unemployment? Are units comparable?

Different economic theories  In the long run we are all dead.  To each
according to their needs,  whats good for GM is good for the country.
begger thy neighbor. the business cycle

There must be a hundred problems, which is of interest to you?

THE problem is  - for each topic -  is that there are conflicting
theories about the reasons.

Free market and level playing field relates to both inflation and
unemployment, but price fixing and government regulations, price wars,
dirty tricks played on competitors ect much complicate matters, so the
market is rarely free, fair, nor level.   Neil