PB Fitness includes 3 things: Move slowly. Lift heavy things. Sprint occasionally.
A separate rule is to play.
It sounds like you have the walking down, and the sprinting as well. If you don't feel comfortable lifting heavy things (this could be pushups and pullups, or it could be weights) then you should continue to work up to it. Lifting heavy things is on an equal footing with the other two for maximum health and fitness, but it is often the last one that people do.
I have no idea what a Body Pump class entails.