A wireless communications device with a wireless module and a controller module is provided. The wireless module performs wireless transceiving to and from a service network. The controller module transmits a connection request message to the service network via the wireless module, and receives, on a downlink shared channel, a connection rejection message corresponding to the connection request message from the service network via the wireless module. Also, the controller module determines whether the connection rejection message indicates that congestion has occurred on the downlink shared channel, and retransmits the connection request message and waits to receive, on a forward access channel, a subsequent response message from the service network via the wireless module, in response to the connection rejection message indicating that congestion has occurred on the downlink shared channel.