Hello Estrella.
Yes, the metro station is in the airport itself. You can get the info on this link:
http://www.aena.es/csee/Satellite?cid=1049727006269&pagename=Estandar%2FPage%2FAeropuerto&SMO=1&SiteName=MAD&p=1049727006245&c=Page&MO=1&lang=EN_GB
And I think you refer to Auto-Res bus station. Just take the line 8 towards Nuevos Ministerios at the airport and when you reach Nuevos Ministerios Station change to line 6 (circle line)until Conde de Casal.