Penso che il tuo SQL potrebbe assomigliare a questo:
SELECT * FROM Hospital WHERE Postcode = 3000 AND
Hospital_id IN
(SELECT Hospital_id FROM Hospital_Medical hm
INNER JOIN Medical_Service m ON hm.Medical_id = m.Medical_id
where Medical_name = 'Emergency') AND
Hospital_id IN
(SELECT Hospital_id FROM Hospital_Language hl
INNER JOIN Language_Service l ON hl.Language_id = l.Language_id
where Language_name = 'English')