Affiliate Marketing Secrets

I’ve been actively searching for full-time work for about 2 years. I work in a very niche field, but have been fortunate to be holding contract work the last two years. I’ve been around the job searching block more than once, but yet again I am looking for more ways to better get my resume to the front of the pile, or even speed up the usually terribly slow hiring process.
My question is.. If I apply for a position online (via online job app or email), is it wrong if I contact the company’s human resources or recruiter employees by phone after creeping up their contact info from the company website, LinkedIn, or other websites where their work phones/emails may be located? Would simply like to call to make a very forward attempt to say “I really want this job” and generally inquire about the position and timeframe for hiring.
I tried calling human resource employees in the past, but had no luck. In fact, I usually was never able to get in touch with them, only getting voicemails, and never getting a callback. When I would bug a front desk to speak with a recruiter, they usually got angry and said they wouldn’t be able to help me….. Is it a good or bad move to call these people after I put in a job application? Would there be a better person to call or email? (Like someone from the specific department I am applying for)

When I fill out college applications it always asks if you are affiliated with the military. I always said no, but now i’m starting to think I should choose civilian.