A globally distributed project team is running behind schedule due to the lack of team commitment and low morale. In order to bring the schedule back on track, what should the project manager do first?

After 35 years of service, a company's CEO has retired. The new CEO is planning to digitally transform the company and has assigned a new project manager to assist in this endeavor. The initial backlog has been created and agreed upon, and the team members have been assigned.
What should the project manager do before the project kick-off meeting?

A project manager is working on a project using a hybrid approach. The project is scheduled to be completed in three more sprints. One of the team members notifies the project manager that they are leaving the company, which was approved by their functional manager.
What should the project manager do first in this situation?

A project sponsor is promoting the use of a new technology that has not yet been approved. The technology guarantees cost savings and a delivery ahead of schedule. However, the operational support at project completion is uncertain as the service organization expressed an inability to provide support without approval of the new technology.
What should the project manager do to resolve the conflict?

While managing a project, the project manager has just noticed that the last several monthly invoices have been challenged by the client when they were clearly defined. The actual invoice payments received have also been late and were outside of the contracted payment schedule.
Recent invoices have only been partially paid.
What should the project manager do?