Hi akprasad,
We can't reproduce either issue on the 2.4b1 version.
Can you please send us the output of the debug tool? Please capture it immediately after waking from sleep when you've seen both issue 1 and issue 2.
The log tool is at
http://www.displaylink.com/support/ticket.php?id=269
You can attach the logs here or send them through
http://www.displaylink.com/support/ask_question.php
Thank you,
Carlo