<apex:form >
    <apex:actionFunction name="refreshTable" action="{!pageLoad}" reRender="calendarOPanel" oncomplete="reRender()">
    </apex:actionFunction>
    <apex:outputPanel id="calendarOPanel"><apex:inputCheckbox value="{!showAAPP}" onclick="refreshTable()" id="checkAAPP">AAPP</apex:inputCheckbox><div id="calendar" class="printable"></div></apex:outputPanel></apex:form>

function reRender() {
        console.log('reRender');
        $('#calendar').fullCalendar('refetchEvents');
}