Problem with and if() logic

[nikos]

		if name and month and year:
			cur.execute( '''SELECT * FROM jobs WHERE clientID = (SELECT id FROM clients WHERE name = %s) and MONTH(lastvisit) = %s and YEAR(lastvisit) = %s ORDER BY lastvisit DESC''', (name, month, year) )
			print( 1 )

		elif name and year:
			cur.execute( '''SELECT * FROM jobs WHERE clientID = (SELECT id FROM clients WHERE name = %s) and YEAR(lastvisit) = %s ORDER BY lastvisit DESC''', (name, year) )
			print( 2 )

		elif month and year:
			cur.execute( '''SELECT * FROM jobs WHERE MONTH(lastvisit) = %s and YEAR(lastvisit) = %s ORDER BY lastvisit DESC''', (month, year) ) 
			print( 3 )

		elif year:
			cur.execute( '''SELECT * FROM jobs WHERE YEAR(lastvisit) = %s ORDER BY lastvisit ASC''', year )
			print( 4 )

Its almost correct except the fast that the last "elif" never gets executed. Even if 'month=0', which mean no selection of month still this clause 'elif month and year:' always executes instead of the last one.

Please can someone correct this and explain why?
Thank you!