Do I need to upgrade my panel?
In answer to your question nothing looks amiss as far as overloading is concerned. The way you know if a panel is over loaded is that the main circuit breaker trips out on overload. Prior to that if you are really concerned. Get an infrared thermometer and see if you can find any hot spots. Particularly around the connection and lug points. You want things to stay below 75C or 167F. Look for any discoloration or burn caused by overheating. Overheating is a sign of overloading due to the resistance of the bus and conductors.

Good luck