Once done, try following these steps one by one and let us know how it goes:
Remove third party plugins: Open the plug-in folder (Program Files > Adobe > Adobe InDesign > Plugins). Remove third-party plug-ins and paste them to Desktop.
Remove corrupt fonts: Open Fonts folder in Control Panel. Select all the fonts, and copy and paste them in a folder on desktop. Trash the fonts from the Fonts folder. Copy and paste each batch of fonts from the desktop to Fonts folder and launch the application. If you are unable to launch the application, the damaged font exists in the Fonts folder. Identify and remove the damaged font, and relaunch the application.