What are some possible problems that might result from the lack of a national government?

Answer 1

The most serious problem would be anarchy and the ills that go with it.

The above answer is nonsense perpetuated by those who wish to keep and grow their power and control.

Anarchy is simply the absence of rulers. It is not inherently bad.

The absence of a national government would solve more problems than would be created. Its only legitimate purpose is to facilitate those tasks that state governments cannot do.

That's why the men who designed this country put strong limits on the central government which they rightly saw as a necessary evil.

That's why they included the 10th amendment to the Constitution which reads...

"The powers not delegated to the United States [federal government] by the Constitution, nor prohibited by it [the Constitution] to the states, are reserved to the states respectively, or to the people."

Their intent was to limit the government (which, after all, is only people with power to rule other people) and empower the individual.

Answer 2

Some possible problems that might result from lack of a national court system are violation of rights, injustices among others.