In a hybrid project management setting, when delays occur, it is crucial for the project manager to maintain transparency with stakeholders. The first step should be to clarify the current state of the project, including the progress made, the reasons for any delays, the risks that have been identified, and the actions planned to address these issues12. This approach not only keeps stakeholders informed but also helps in managing their expectations and maintaining their trust in the project management team's ability to handle challenges345. By providing a clear and detailed explanation of the situation, the project manager can facilitate a collaborative discussion on how to proceed, potentially leading to solutions that align with the project's goals and contractual obligations567.
References:
PMI's Guide to the Project Management Body of Knowledge (PMBOK Guide) - Sixth Edition5 LinkedIn article on "Managing Business Analysis Project Delays" 3 LinkedIn article on "Business Analysis: Salvaging a Delayed Project" 4 Float's guide on "Hybrid Project Management: Blending Agile and Traditional PM" 1 PM World Journal article on "7 Challenges faced in Hybrid Project Management" 2

When a project undergoes an executive-level reorganization resulting in a new sponsor who is not keen on continuing the project, the project manager should engage with the new sponsor to align their understanding and commitment to the project's vision and outcomes. This approach is supported by PMI's guidelines which emphasize the importance of the project sponsor's role in championing the project, endorsing it as a valued investment, and maintaining a good working relationship with key stakeholders, including the project manager12. The project manager should utilize the opportunity to communicate the strategic significance of the project and how it serves the organization's objectives, thereby fostering support from the new sponsor1.
References:
* Duties of the effective project sponsor | PMI1.
* Project sponsorship: senior management's role in the successful outcome of projects | PMI2.

According to the Project Management Professional (PMP) guidelines, once a project manager has been authorized to begin a project, the next step is to assemble the project team. The project manager should select team members based on their skills or potential to contribute to the project's success. This is crucial because having a team with the right skills and potential can significantly enhance the project's chances of success. References: PMBOK Guide, Project Team Development. Please refer to the specific sections in the PMBOK Guide and PMP study materials for more detailed information.

In an agile environment, when a team encounters a technical problem, it is essential to engage the team in a problem-solving session to collaboratively find a solution. This approach aligns with the agile principle of self-organizing teams that are empowered to address challenges and adapt their work accordingly. Organizing a retrospective could be beneficial, but it is typically done after a sprint is completed to reflect on what went well and what could be improved. In this case, addressing the problem promptly within the sprint is crucial to maintain the momentum and ensure the team can move forward without delay.
References: The answer is supported by agile methodologies that emphasize team collaboration and problem-solving within the sprint cycle. The PMBOK Guide also highlights the importance of the project manager facilitating problem-solving and empowering the team to find solutions1. Additionally, the Professional in Business Analysis materials suggest employing problem-solving techniques to address issues as they arise23.