A.) Asana is super responsive in that you can drag + drop tasks by moving them with your mouse or using the shortcut COMMAND + UP/DOWN ARROW.
However, if you're viewing your tasks by "Due Date," you're not able to manually move the order of the tasks.
B.) Use the 'View Tasks' drop down to choose to see tasks by
I can easily collapse other sections by choosing the collapse button, and I can change priority by clicking the small calendar symbol on the left side of each task.