Maybe I was not clear. I want players to be able to continue game, after they exit. Then, if player decides to play again, he/she shoud start from the point where they ended last time. Although, I don't want to create possibility to save game manually - if player dies, it's over, you've got one life. If you die, you will have to start from beginning.
I want to make it on as many platforms as possible, for Android and iOS for sure. I tested exporting through Intel XDK and it works quite well, but I read somewhere on scirra website, that webstorage is not working in Android Apps in Google store. I'm not sure if built-in "save" and "load" actions work, because I haven't tested it opn Android yet - I hope they do.