As Writeaway 'demands', more context is needed,

based on the suggested term explanation, in my opinion reclamation can be a match.

Although I would need to say the actual text, it seems to me that multiple causes of action are set out in the summons in this case.

In the law, a cause of action is a set of facts sufficient to justify a right to sue to obtain money, property, or the enforcement of a right against another party.[1] The term also refers to the legal theory upon which a plaintiff brings suit (such as breach of contract, battery, or false imprisonment). The legal document which carries a claim is often called a Statement of Claim in English law, or a Complaint in U.S. federal practice and in many U.S. states. It can be any communication notifying the party to whom it is addressed of an alleged fault which resulted in damages, often expressed in amount of money the receiving party should pay/reimburse.

To pursue a cause of action, a plaintiff pleads or alleges facts in a complaint, the pleading that initiates a lawsuit. A cause of action generally encompasses both the legal theory (the legal wrong the plaintiff claims to have suffered) and the remedy (the relief a court is asked to grant). Often the facts or circumstances that entitle a person to seek judicial relief may create multiple causes of action.
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The defendant to a cause of action must file an "Answer" to the complaint in which the claims can be admitted or denied (including denial on the basis of insufficient information in the complaint to form a response). The answer may also contain counterclaims in which the "Counterclaim Plaintiff" states its own causes of action. Finally, the answer may contain affirmative defenses. Most defenses must be raised at the first possible opportunity either in the answer or by motion or are deemed waived. A few defenses, in particular a court's lack of subject matter jurisdiction, need not be pled and may be raised at any time.
https://en.wikipedia.org/wiki/Cause_of_action

Cases may be filed by an individual in person or by attorneys on their behalf. The procedure differs depending on whether an attorney is involved. The procedure discussed in this section is for people representing themselves (no attorney). All corporations and voluntary associations must be represented by an attorney.
In general, the person suing is the plaintiff. More than one person may join in the suit as co-plaintiffs. The person being sued is called the defendant. You may sue more than one person in a single summons, but the causes of action must be related.
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The court issues the summons and complaint upon payment of the fee. The summons must then be served on each defendant. Affidavits of service must be filled out and notarized for each defendant. The Affidavits of Service, along with the Summons and Complaint must be filed with the Court. If the defendant files an answer, you will receive a court date in the mail.
https://www.nycourts.gov/courts/nyc/civil/startingcase.shtml