You can't 'like' a post through Tapatalk - you have to click on something that says 'go to web version' or similar, then it will take you to the internet version of DR1 and you can "like".
Tapatalk is an app that you can use to read DR1 on your phone or iPad - i used it on both. I'm sure there's a droid version too. Very easy to use, easier than the web IMO