Hi,
You said that “The RTS Pin is controlled via Software and that is the reason why I don't check this bits.”, but you configured the FUNC bits of IOCON->PIO[0][9] as 0x01, which means that the PIO0_9 pin functions as RTS of FC4, you can NOT manipulate the RTS with software like GPIO does, the RTS signal will be driven by UART module automatically, in the case, you have to configure the bits I said in last Email.
You can configure the PIO0_9 pin as GPIO function with FUNC bits of IOCON->PIO[0][9] as 0x00, you can configure the direction of PIO0_9 as output, in the case, you can set the GPIO or clear the GPIO so that you can control the transceiver direction of RS485.
If you still have question, pls post the RS485 hardware connection.
BR
XiangJun Rong