connections
If the breaker controls the good outlets and the wrong outlets, which seems that
1. the connections in the breaker caused the problem, try to reconnect the wires in the breaker ( turn off the main switch on the basement panel before to do that)
2. if there is a junction box which contains all the branches of the wires caused the problem. If you can find out the junction box in the basement and try to reconnect the wires.
3. if something wrong with wires somewhere inside the drywall, then it maybe a big project to do.
Good luck.