Separate the observations
Describe visible trickling into the bowl, a basin drip and the pump's run pattern independently. Include which fixtures connect to the unit if known.
Direct assessment correctly
An engineer can consider the source of flow before condemning the pump. Do not open the unit or bypass a control to silence repeated running.
A useful distinction
If a toilet continues feeding water between uses, the pump may simply respond to that incoming flow. If no incoming flow is visible, that does not prove the unit is faulty; concealed connections still need consideration.