There are a couple of errors in your statement
- to join on more than one condition, you have to use AND, not WHERE
- get rid of the ( between the column name and BETWEEN
Fixed query:
SELECT d.driverID,
e.firstname,
e.lastname,
t.testid,
t.testType
FROM driver d
LEFT JOIN employee e
ON (e.employeeID = d.employeeID)
INNER JOIN driver_test dt
ON (d.driverID = dt.driverID AND
dt.testDate BETWEEN TO_DATE('01-JAN-2012',
'dd-mm-yyyy') AND
TO_DATE('31-JAN-2012',
'dd-mm-yyyy'))
RIGHT JOIN test t
ON dt.testID = t.testID
WHERE (t.testType = 'Alcohol');