Ok well that usually works. Double check that you are renaming the correct BPS Plugin folder and double check that all caches have been cleared. You should also try logging out of your website and closing and reopening your Browser (all Windows and all Tabs). Then relaunch your Browser, login to your website, go to the WordPress Plugins page and activate BPS Pro.
Also I just thought of another possible problem. The name of the BPS Pro zip file MUST be bulletproof-security.zip (the BPS Pro zip file saved on your computer) when you install the BPS Pro zip file using the WordPress Plugins Upload Zip installer.