Verified answer

You should put it on there. If it wasn't a good experience (boss hates you, you were demoted, whatever), you can always spin the experience in a positive way (what you learned, how you contributed to the company's success, etc.). You can also tell the person who's interviewing you that you don't want your current employer to be contacted until they have made a job offer, because you haven't given notice that you intend to quit. Most interviewers understand that.

I would suggest you do so. You do not need to give your current boss as a reference, simply explain that you do not want your current company to know you are looking for a better opportunity. They usually will not check references until they are about to provide you an offer. Is there someone else at your current place of employment you could use; someone that you trust to be confidential and would provide a good reference? That would be the ideal solution. Or someone that has since left?

I have never provided my current employer as a reference for the simple reason if things do not work out in an interview you do not want your current employer to know and have the appearance of not being loyal. It is normal and confidentially should be expected from any where you interview.

Yes you should. Regardless of your boss you should still put down your working experience.

Yes. The new place only hears what you tell them. Very rarely do they check up on you. In America if a company calls about you, they are limited about what they can say.