If Hr Is Asking For References To Call And To Verify Past Employment,does That Mean I Might Get Hired.?

I went on a 1st and 2nd interview this week for an executive position. I was told that I was agood fit for the job by the HR Director. I received a e-mail from her last night and she wants to contact my references and verify my past employment. I want to know if that is a good sign?

Follow-up Phone Call For A Job Application?

I dropped off an application at a local correctional facility for students after hearing from my friend (who is part of the staff I seek to join) told me that they are short handed. This was on Friday, and I haven’t heard anything from them. I also called their Human Resource Director to make a clarification on my job application, leaving my phone numbers. Then, last night, my friend put in a good word with the main director of the team that I’ll be working for.
My question is, should I make a follow-up call today?

Human Resources Director Keeps Asking Me To Call Him?

Is this a good or bad sign? He says there are other candidates for the position and asks me to call him every few days to check on the status. He says the manager of the department hiring is already interviewing this week so she doesn’t have a chance to interview me. Is it common for HR managers to do this for a likely candidate?
I really want to work for this company. Is this a test of loyalty or something? I want to know because it’s kind of stressful. I’ve been doing this for 3 weeks.
Thanks in advance.