You can not restrict issue creation by issue type for different users. There are workarounds involving conditions in workflow transitions. This is well explained in the links below
https://answers.atlassian.com/questions/52475/is-there-a-way-to-limit-the-issue-types-that-a-user-in-a-particular-group-can-create
https://answers.atlassian.com/questions/129438/how-to-set-permission-on-issues-creation-by-issue-type
https://answers.atlassian.com/questions/33259/permission-to-create-specific-issue-type
https://jira.atlassian.com/browse/JRA-2764
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