the Supreme Court has consistently held that if a family settlement is reduced to writing with the intent to create or extinguish property rights on the spot, it mandatorily requires registration under Section 17 of the Registration Act, 1908.un registered deed is not admissible in evidence
2) however You can legally file a Suit for Specific Performance and present this unregistered document as evidence of the contract/agreement to sell. The court will accept it to establish that an agreement existed between the parties.
3) Since possession was physically handed over, you enjoy protection under Section 53A of the Transfer of Property Act (Part Performance). While Section 53A now expects an agreement to be registered, courts heavily factor in the combination of full payment, physical possession, and the presence of the mother as an independent witness to rule in equity.