会:general meeting.
会合:meet and become familiar, you could drink alcohol sometimes.
会議:meet and discuss something, you never can drink alcohol there.
In the kindergarten,
Children have "お誕生会" (birthday party)
Parents have, "保護者会"、"保護者の集まり"、”親睦会" or "保護者会の緊急会合"
Teachers/workers have "会議" in the working time , and "親睦会" after work.