Usually not by itself. Most grid-connected solar systems shut off during outages for safety. Battery storage or a properly installed standby generator is needed for backup power.
Possibly. Try to avoid running several large electric loads at the same time during peak demand periods. For some members, battery storage may also help reduce demand by supplying power when grid demand is highest.
No. Net metering credits apply to eligible energy use. They do not offset all fixed, service-related, or demand-based charges.
Solar reduces the amount of electricity you buy from the grid, but it does not remove all costs of being connected to the electric system. Charges such as the basic service charge and, when applicable, demand charges may still appear on your bill.