Hi,

It is not possible to join the 60-days trial without providing a payment method. Do you have Paypal Express or Paypal One-click enabled? If I am not mistaken, Paypal may not request confirmation sometimes if you have such setting enabled (I personally have it enabled at my computer at home and Paypal never asks me for further confirmation there when purchasing something).
Nevertheless, to get this trial you must have selected Paypal as payment method.
I don’t see your order to be refunded (yet). Did you request the refund to Paypal directly? If so it can take few days to be shown in our systems.