"improving personal relationships" is a poorly phrased specific purpose for a speech because it is

I believe the answer is: written as a fragment rather than a full infinitive phrase.

The purpose of a speech should generally targeted to all audiences of the speech.  'Improving personal relationships' is something that could only be done to a handful of people and could only be done by communicating with those people directly, not by speaking to the crowd.

They went to leyden, holland

True. you know, tools like shovels.