If you are interested in a company, then it never hurts anyone to apply for all jobs that you are qualified for. Plus, remember, the bigger the company and the more departmets they have, the less likely it is that the same people are actually looking at your resume.

On the flip side of that, the more people who look at your resume, the better, because hiring manager A could be having lunch or conversing with hiring manager B before a company meeting. The job could be brought up and something said which triggers the memory of your resume. HM B tells HM A about you and there you might have an interview.

The other jobs you applied for and were not contacted for an interview, you already stated that they wanted someone with a bachelors. You didn't have that particular qualification, so that is that.

Companies who don't contact a candidate is a pet peeve of mine, however, while job searching, I resigned myself to the knowledge that interviewers are not going to contact candidates unless they are going to be called in for an interview. If the candidate is not contacted after the interview as to the status of the position, that is just plain rude and unprofessional. But, companies get so may responses that unless their is an automated system in place already, you won't receive an ackowledgement or status of your resume.