What would you do

I accepted a job that was supposed to be 4 days a week. Now that I have started I am told it will be 5 days a week with prime rush hour commute times. Not what I agreed to. Leadership doesn't care, just said it is what it is. I got very bad vibes discussing it. Actually ignored my emails asking to talk about it until I went and found her in person. Also before accepting the position I had requested to be out by a certain time one day next month due to a scheduling conflict and HR emailed me saying it would be ok. Now I am being told it is not ok, and they need me to stay 30 minutes past that time even thought it will still be orientation. I really want to just quit but I have to find another position. And this position seems like a nice area to work in. I do not want to go back to my previous one, I was happy to move on after 8 years. It was three 12 hour shifts so I may end up trying to go back, but my day shift got grabbed I would have to do nights.

Here is the good news, I applied for several other jobs and have gotten a call to set up an interview for one place and a phone interview for another . Phone interview I can do at lunch. But for an in person interview? Do I call out sick? Do I make an excuse and go in late? Get sick and leave early? I have NEVER been one to call in sick and it causes me guilt and anxiety to do so, but how else will I interview for jobs while on a 5 day work week? Sometimes the grass is not greener.