Arduino UNO Rs232 shield and programmable LED

Hi Guys

I want to build a device that monitors a sensor, displays a colored level with a programmable LED strip (http://www.adafruit.com/products/306 + external 5v pwr supply) and sends messages to another device using RS232 (http://www.cutedigi.com/arduino-shields/rs232-shield-for-arduino.html). I have an existing Arduino Uno (R3, I think).

Does this have sufficient I/O? (I know I have to disconnect the RS232 to download).

Thanks

Mark