In order to allow end users to select Ticket Type and Ticket Priority when submitting a ticket, they have to be made public. You can make them public from the following settings:
For Ticket types:Admin CP -> Tickets -> Types -> Select the Type -> General tab -> Visibility: Public.
For Ticket Priorities: Admin CP -> Tickets -> Priorities -> Select the Priority -> General tab -> Priority type: Public.
Sandeep Kaur