Yes, we can confirm that CTS_B it is automatically handle, since this output pin serves two purposes. Normally, the receiver indicates that it is ready to
receive data by asserting this pin (low). When the CTS trigger level is programmed to trigger at 32 characters received and the receiver detects the valid start bit of the 33 character, it de-asserts this pin. The operation of this output is the same regardless of whether the UART is in DTE or DCE mode.
For timings you can check the Datasheet and review the External Peripheral Interface Parameters,
Transmit Bit Time tTbit 1/Fbaud_rate – Tref_clk
Fbaud_rate: Baud rate frequency. The maximum baud rate the UART can support is (ipg_perclk frequency)/16.
Tref_clk: The period of UART reference clock ref_clk (ipg_perclk after RFDIV divider).
1/Fbaud_rate + Tref_clk