What is the procedure for requesting an aircraft’s Simple Information Note and the corresponding payment of the fee? And if it’s better to apply for a Certification of Ownership and Charges, because I don't know what the difference is.

A simple note is a certified copy of the aircraft’s registration seats. A certificate of ownership and charges is limited to exposing to whom the aircraft currently belongs and if it is subject to charges such as liens or mortgages. You can find more information on how to apply at this link. 
 
As regards the payment of the fee, the fee to be taken into account is the 19th and you have the information on it here.