npm notice created a lockfile as package-lock.json. You should commit this file
Yes. You should add this file to your version control system, i.e. You should commit it.
This file is intended to be committed into source repositories
You can read more about what it is/what it does here:
package-lock.json is automatically generated for any operations where npm modifies either the node_modules tree, or package.json. It describes the exact tree that was generated, such that subsequent installs are able to generate identical trees, regardless of intermediate dependency updates.
Yes it is wise to use a version control system for your project.Anyway, focusing on your installation warning issue you can try to launch npm install command starting from your root project folder instead of outside of it, so the installation steps will only update the existing package-lock.json file instead of creating a new one.Hope this helps.