Hi Jeremy,
I apologize if I confused your question. Being able to use the DMA helps in the speed of data reception, but it is not the case of the LPC804, as it does not have this module.
The SDK examples for LPC804 are very specific to use, such as the transfer_ring_buffer example, which will be sent by UART until the 8 characters are received, or the polling example, in which you send the character after receiving it. These examples are to be used as a reference, so in order to receive more than one character it is important to consider the changes to be made in your application. In addition please make sure that your serial terminal is configured correctly as that could also limit how the communication is viewed even if via UART it is sent correctly.
Please let me know if you have further questions.
Regards,
Ricardo