Applied at UPS Store for Unknown

I have an interview scheduled for Monday at 10 AM, and I’m currently working a temporary job at a UPS Store. I’ve already submitted my two-week notice, with my last day being the 28th. I’m a bit unsure about how to approach my current employer regarding my interview. I also have two more interviews lined up for Wednesday. Should I just call in sick for those days? I’ve heard from others that it’s okay to keep the details private and just say I have an appointment. Any advice on how to handle this situation would be appreciated!