Amirs should be better than others in recitation and knowledge of the Quran. They should be fair to everyone and humble in nature. They should be able to delegate some of their duties to their assistant. They may appoint group leaders among children to promote leadership. The duties of the Amir should include scheduling the meeting, informing in advance, assigning the topics and format, and presiding the meeting itself.
Communication is the key to the problem and solution.
Most problems arise out of miscommunication. I personally believe newsletters are better than phone calls due to uniformity of message. We should not rush through the Quran since it is the comprehensive book of wisdom and knowledge. It is reported that Abdullah Bin Umar took eight years to finish the second chapter, Surah al-Baqarah. He used to read a verse, memorize it, practice upon it and then proceed further.