Everywhere is different. There's some stores and even malls that allow us to vape in public but some places are strict and look at it as if your smoking. I think it's mainly because people aren't used to them still and some people think it's drugs.
Some places, sure but not everywhere. My work for example treats it like regular analogs, no vaping, no smoking, you must go to the smoking section to vape. It is too new yet!
I vape everywhere unless I am told that I cannot and usually a proprietor of a store will be quick to tell you if you can or can't.
Inhaling nicotine is neither good for you nor for the people who are surrounding you while you are smoking. I will not give any suggestion for indoor vaping, but I will suggest you quit smoking. You can try a nicotine-free vape pen. It will help to quit smoking.
In China, we can but not all the place, I usually vaping outside my office or inside when i am alone,haha