Actually, he has two closers at the moment, as BJ Ryan won't be back until the all-star break. Not that you shouldn't try to upgrade if you can, but for the start of the season at least, you should be OK for saves.
Blalock could be a real nice sleeper pick this season. His ratio stats last year were excelent. I know there's a lot of bad history there, but he might be able to turn it around. So again, I don't think its QUITE as dire a situation as some... but like above, you should definitely try to upgrade if you can. Check out Edwin Encarnacion, Evan Longoria, Josh Fields, maybe even Glaus depending on how they start the season. I'm betting that at least half of those four guys are on your league's waiver wire right now.
As of 8/4/13
C:Napoli 1B:Goldshmidt 2B:Kinsler, Gyorko SS:Tulo, Profar 3B:Longoria, Machado, Middlebrooks OF:Harper, J. Upton, AGon, R. Davis, Venable SP:Scherzer, Minor, Ryu, E.Santana, Beachy, Samardzja, J.Johnson (DL), T.Ross RP:Perez, Rodney, Farquar