Can I quit and get Unemployment for hostile work environment? Or should I be fired?

Hello all I'm hoping someone can help me. Work is getting so uncomfortable and unbearable. Last Monday my husband left for the military. We have an 18 month little girl and finding a weekend babysitter was unsuccessful. I had informed my direct supervisor of this three weeks prior to my husband leaving. We were still actively looking at that time but I did want her to be aware that I may need to change my availability. She told me at that time not to worry about it and that she would help me figure something out. Two weeks went by and no luck finding a baby sitter and not another word from her. I finally approached her asking her how I could change my availability at that time she informed me the store manager wouldn't go for it and I should just put my notice in. Before putting my notice in I approached the store manager who at that time was more than willing to work with my availability. The next day my direct supervisor got wind of what happened and pulled me out in front of the building and informed me for going over her head " my job was in jeopardy and my position was now temporary." The next morning I spoke to Human resources and informed them of the conversation my supervisor and I had the day before. I also informed the store manager that I had gotten HR involved so she was not blind sided by their call. I was never followed up with by HR a week after HR contacted both the store manager and my direct supervisor I was informed by the store manager they were no longer willing to work with my availability and if I couldn't find a sitter I would be taken down to a part time employee. Two days after that the store manager wrote me up for "mispunches". The time clock doesnt always process punches. The time clock will beep and say it accepted the punch and the next day I go into work and I will have to sign a paper to correct the time. I have had mispunches for months with no disciplinary action done. But since I contacted Human resources my job has been put in jeopardy. The sad thing is all the employees know the time clock is broken and they all have to sign missed punches all the time. Some get write ups and some don't. I have tried contacting HR again but I keep getting sent to voicemails and getting no calls back. It is making it unbearable to go to work knowing they are trying to fire me and the whispers from managers as I walk by and the staring as I am doing my job makes me very uncomfortable. Can I quit and get unemployment or do I have to wait to be fired?