Something like this might work. In the code below I've set the dates to be between January 1st and March 1st and the times attended to be greater than 4. You can change those to meet your needs.
SELECT PS.Club_Name, P.Filing_Name, SUM(PS.Attend), SUM(PS.Points)
FROM Person_Session PS, Administration Admin, Person P
WHERE PS.Club_Year=Admin.Current_Club_Year
AND PS.Member_Type='Clubber'
AND PS.Person_Status='Active'
AND P.Person_ID=PS.Person_ID
AND PS.Session_Date BETWEEN '2011-01-01' AND '2011-03-01'
GROUP BY PS.Club_Name, P.Filing_Name
HAVING SUM(PS.Attend) > 4