Hello jzhang18:
I can reproduce the missing COBOL perspective, even though I start Eclipse from $COBDIR/bin/eclipse, if I do not have a license installed for the product.
Using the license administration tool named cesadmintool.sh in /var/microfocuslicensing/bin, I purposefully un-installed the Visual COBOL PE Eclipse license that had been installed along with the Visual COBOL PE Eclipse product.
Then I started Eclipse. After confirming the location of the workspace, I got the screen saying "Unable to find a license for Visual COBOL for Eclipse on this machine", and offering two radio-buttons: "I have a full license", and "I want to activate the free product". I ignored this screen by clicking the Cancel button, then proceeded into Eclipse. The COBOL perspective was not visible. But, in Help > About > Installation Details, I could see COBOL in both the Features and the Plug-ins, if I scrolled down far enough.
In the screen captures for your Features and Plug-ins, I cannot tell whether you scrolled all the way, but I assume you probably did. So perhaps I am not reproducing the same symptoms as your machine.
When you bring up Eclipse, does it show an "Unable to find license" screen?
On your machine, what is the output of:
cd /var/microfocuslicensing/bin
sh cesadmintool.sh
2. Check License Status