You know, my alarm bell goes off loudly with this scenario. Who hires without an interview? I have worked with and have been hired through staffing agencies, and their process has been: 1) to first interview me in person at the staffing agency, and 2) to then interview on site at the hiring company. Even with a contract position through a staffing agency, I have been required to go through the on-site interview. The only time I have never been interviewed through a staffing agency is when the position is a temporary placement. Another alarm bell is no official offer letter or specific details about the position in writing. The recruiter should have responded to you in writing with these details. It should also be in writing in what time frame is the position open to consideration for direct hire.

Also, normally, you determine your own start date, not the other way around. Normally, it is asked when can you start? And do you need to give notice and how much notice? The notice you give is up to YOU. It could be a month that you need to give, not two weeks, sometimes. Two weeks is simply the norm.

I've never heard of an agency asking for a copy of your diploma. Normally, they will call to verify education and work background.

Do you know the name of the mail-order pharmacy, their physical address, website, and your direct supervisor's name? These are all details you should have.

If it were me, I would want an official confirmation about the position in writing, with all important details, before giving my two weeks notice at my current job. I would also request that you have the opportunity to meet with the hiring manager or your direct supervisor at the company to meet them in person first, or at the very least, by phone.

I don't like the sounds of this.... but then again, I am extra cautious these days as I have been scammed several times in other ways.