Refund Scam??? Adobe can't refund me via PayPal

So I cancelled my Adobe Acrobat DC subscription a couple of months ago. Then, out of the blue, I get an email saying that I was charged again for another month. So I called the customer service line and told them my situation, asking them to refund me the $13.64 and to OFFICIALLY CANCEL my subscription. Now, the first problem I had was I could barely understand the tech. She had a very thick foreign accent, and I had to ask her to repeat herself several times. I am naturally more distrusting of foreign tech people than American people. My credit card info has been stolen before by foreign "tech support" people. So that was Red Flag #1.

Red Flag #2 was when she told me that she was going to "escalate the problem" because I was not only going to be refunded for the one month that I did not ask for, but for THE ENTIRE LENGTH of my subscription (since October 2015), which amounted to over $300. The reason for this, she said, was that I "hadn't used' the product since I subscribed.  Now of course I was gonna just shut up and take the money, but it also made me suspicious because why would ANY company be so willing to refund a customer that much money???

Red Flag #3: She told me that someone would be contacting me within 24-48 hours. That was 2 days ago, today I got an email from Adobe Systems saying that they are unable to refund me through my PayPal account and that I must click a link to provide my credit card information.

This is where I am balking. When I called customer service again after I got that email, and asked why they could not use PayPal to refund me, she stated that it is "Adobe's policy" to not provide a refund that large through PayPal, but that if it was for 5 months or less they could.

Could someone just verify that this is indeed legit and not a huge scam??? I've had my credit card stolen 3 times in the last year, I don't want it stolen again!