The term ‘Right to the City’ is indeed a human right that the United Nations Human Settlements Programs (UN-Habitat) checks for commitment compliance from each country, validating Statement 1. It aims to ensure all urban inhabitants, particularly the vulnerable and marginalized, can use urban spaces, services and participate in decision-making processes. This supports the notion that it grants every resident the "right to reclaim public spaces and public participation in the city," making Statement 2 correct.

Statement 3, however, is not accurate. The `Right to the City` principle encourages equal access to urban resources for all inhabitants, including those in unauthorized colonies, but it doesn`t mean the State cannot deny any public service or facility to these colonies. Implementation strategies may vary based on various factors, such as the state`s legal structures and resources. Therefore, the correct answer is option 3, i.e., Statements 1 and 2 are correct.