1. Which was not true of the early Christian Church?
Answer: Christian communities spread across the Roman world, but all followed a clear theology.
There were many variations within the theology of early Christianity across Rome, so much that many experts agree on the fact the persecution of Christians didn't start right away after the death of Jesus, because there were so many inconsistencies in the theology it wasn't possible to categorize them all together in one group, Christians.
2. Which was a problem that the Roman Empire faced after capital A.D. 200?
Answer: A lack of strong leadership.
After A.D. 200 the Roman Empire faced several problems, all related to a lack of strong leadership which resulted not only on a civil guard but in many other internal conflicts as well. The separation within the Empire was greatly improved after Aurelian (270-275) started reigning.