This issue is resolved now in 2.0.14 that will be released soon!

How do you resign or offer a draw in the android app?

Under board there is a row of icons; the second one along with three dots and three lines gives you a menu of options. Hope that helps.

I have several issues with this Android app. I am using (or rather trying to use) it on an e-book reader. It has Android 2.1 and 600x800 screen resolution. Older versions more or less worked on it, but newer versions just popup an update prompt, but when I try to load the latest version, it won't install. Also the 600x800 resolution doesn't seem to be supported, which is another inconvenience. I still can use a very old version, but only for tactics training.