Libraries upgrades: special attention needed

Libraries below require special attention to be upgraded.

- [x] babel-eslint
- [x] babel-loader
- [ ] fetch-mock
- [ ] react-router
- [ ] react-select
- [ ] redux-form

No files or tests are named. Start by locating the dependency manifest and checking the current versions of fetch-mock, react-router, react-select, and redux-form; the checked Babel dependencies are already marked complete. Done means upgrading the remaining unchecked libraries and confirming the project still works.

Written by the indexing model from the issue text.