I'd like to build a 10 cu ft reach-in cooler for beverages and need to maintain 38F degrees. This is what I'm thinking of using but I'm looking for advice. Any thoughts on whether I have this sized correctly?

Condensing Unit - Tecumseh-AEA3414YXAXA - (1/6 Hp R134A Cond. Unit. High Temp. 1500 BTU's @ 45 degrees Evap. Temp. 115V 1 Ph. External Overload.)

Evaporator - Tecumseh MJ090 Mfg # CP90-MJ (Peerless Evaporator Coil. Midjette. Medium Temp. 900 BTU's. 5.5 Diameter. Fan. 115V. 0.5A. 140 Cfm. Connections: 3/8 Od Suction 1/2 Flair Nut Liquid. Size 7 H X 13-5/8 W X 9 D. )

Cap Tube - 85" @ .044 ID

I don't have a ton of experience so please let me know if I am off base on anything or if anyone has advice.