You can try and follow these steps to fix Outlook not opening issues.
Open Outlook in Safe Mode
Scan your system for viruses or malware
Repair Outlook Profile
Reset the navigation pane
Install Latest Windows and Office Updates
Repair Outlook PST File
You can use Inbox Repair Tool to repair PST file. But it fails, then you can use Yota PST Migrator which can help you repair Outlook PST files. In addition, it supports exporting PST files to multiple cloud services including Office 365.