There are regular complaints about these kinds of issues from a number of the online, for-profit institutions on discussion boards and other areas where these topics are hotly debated.
My advice, rather than saying which I think are true/untrue or valid/invalid is that if you are having a discussion with a college admissions office, and it begins to feel like you are in a used car dealership being pressured to "buy now" or being taunted by statements like "I thought you wanted to be a good example for your kids",... then it's time to hang up the phone, and walk away from that institution, permanently. No college worth it's salt needs to pressure students to sign up. If you're being pressured, hounded by emails and calls and made to feel bad when you say things like "I'm not sure it's the right time for me," or "I'm not ready to spend the money right now" you're dealing with a diploma mill (and it may be an accredited diploma mill, but it's a diploma mill, all the same)
About accreditation: a COLLEGE may be accredited but if you are hoping to enter a profession that requires that you attend an accredited PROGRAM, this is a different issue.
Too often, students ask about accreditation and are assured that the school/college is accredited (which may be true) but if you want to be an X-ray tech, for example, and you attend an accredited college whose Rad Tech program is NOT accredited by JRCERT, you will not be able to sit for the credentialing exam after graduation and therefore you will NOT be able to work as an X-ray/Rad Tech (you will still have to pay back those student loans though...)