Is it possible to refuse to pay a fine from TCC and JV, if ...?

Yes, you can refuse. Since the specified actions do not comply with the procedure provided for by the legislation of Ukraine, and may indicate abuse of their rights by TCC and JV employees.

First, representatives of the TCC and SP must draw up a protocol in which the essence of the committed offense will be recorded. This protocol is issued or sent by mail to the conscript with a notification of when and where the administrative case will be considered. That is, the fact of drawing up a report does not mean bringing to responsibility. The conscript himself must be invited to consider the case. At the appointed time, the head of the TCC and SP must consider the case and listen to the conscript, if he appeared, study his written explanations, if they were submitted. According to the result of the examination, if the manager comes to the conclusion that there are grounds for bringing the conscript to responsibility, the manager of the TCC and the JV issues a ruling, which will determine the amount of the fine. This resolution is handed to the conscript or sent by mail. If the conscript does not agree with the decision, he can appeal it in court.

Therefore, the basis for paying a fine can only be a resolution signed by the head of the TCC and JV, on bringing to administrative responsibility. A piece of paper with details is not such a basis. Therefore, demand that you be issued a resolution on bringing to administrative responsibility.