How do I change $PATH and set it to the default directory?

First, check the contents of your ~/.profile and ~/.bash_profile for any lines involving writing paths to $PATH.

If this doesn't help, check the contents of /etc/paths and /etc/paths.d/ for any path that you don't want to be included in your $PATH.

Furthermore, you can show what code is being run by bash by adding the following to the top of /etc/profile:

set -x

Save the file, then open a new Terminal window. This should show when and how the $PATH variable is being overwritten.