The main clause is clams and the subordinate clause is fresh used as an adjective.
Well, nothing is capitalized.
The word <em>we </em>is the subject. The phrase <em>solemn vigil </em>is the direct object. The phrase <em>at the funeral </em>is adverbial modifier.
So in a student government, the main purpose why it is establish is to empower the rights of the students as well as to encourage unity. Given that the little prince is the president, the school program which focuses on friendship and camaraderie would be more on team building activities. Hope this answers your question.