The last seen status can be disabled on WhatsApp at the chat settings. Any way I can disable the two blue ticks that appear on the other person's app that shows the read time of the message?
You can actually do it now. They rolled out Version 2.11.444 with an option to turn off Read receipts under the privacy settings. The update is not available through the Play Store at the time of me writing this answer, though - you have to download and install the apk from their official website.
For more info check http://codezag.com/disabling-blueticks-whatsapp-turn-off-read-reciepts/
Currently enabling the flight mode before reading a message is the only existing solution...