Hi Ravi,
In options manager, there is an option under Request Manager which is called "employee_intf_incident_support Options Detail" - this option allows you to set which ticket types are available on the employee interface. You can set the option value to "Both Incident and Request" - which will allow employees to open both types. For Problems, typically an employee would not create them as that would really be something an analyst or higher would do, thus that functionality doesnt exist on the employee interface currently.
Hope this helps,
Thanks,
Jon I.