Resigning after 2 weeks as DON- Advice please!

I started a job as a director of nursing at a home health agency 2 1/2 weeks ago. I knew immediately that it wasn't going to work out. By the end of the second day, I was considering going home and not coming back. In short, this employer is horrible to work for....staff in the office are recorded (video and audio) at all times. Employees are allowed no breaks other than a 30 minute lunch break (and yes, unfortunately, that is all my state requires). There is no internet access, even though I really need it to do my job well (they are afraid of employees using it for personal use). My boss (the owner of the agency) is very, very challenging to work with. She micromanages every single, tiny little detail. I simply cannot agree with some of the practices that she has implemented. My "orientation" consisted of about a day of sitting with the exiting DON and watching her do and explain some of the work. I haven't gotten a proper day off since I've started, as I've had to see patients on my days off since they are short-staffed. I was put on-call the second weekend I worked there. Even though I've told my boss that I need some time off (already) and I'm feeling overwhelmed, she simply doesn't care.

Thankfully, I've received a job offer for another job that is more in line with what I want to do. They want me to start next week, if at all possible. I know that it is unprofessional to give less than a 2 week notice, but otherwise, I can't start the other job until June. And I don't know if I can stand working at this agency for that long. And frankly, I feel that they have taken advantage of me.

How horrible do you think it is to give a 2 day notice instead of 2 weeks in this case?
Ick! If you're that miserable... I would in the nicest way possible explain what I don't like about working there, and let them know I'm not returning. At least by telling them WHY, maybe they will make changes for the next person.
I am usually the one who says ... "You accepted the job and now have an obligation to resign in a professional manner -- giving proper notice, etc." Did you not assess the job situation before you accepted it? However, in the case, the employer sounds so bad that I think you should run from there as fast as possible -- particularly since you have another job all lined up.So ... I recommend leaving with minimal notice ... but learning from this experience to do a better job of investigating a job opportunity before you accept it.
I wonder if the employer will figure anything out? Good luck in your new position.