I want to filter my issues on basis of assignee and i want a quick filter for assignee as in drop down list.
Not really. You can do a lot of permission based stuff by using workflows, which can be different by project and issue type, but that's not intuitive and has significant weaknesses.
For the rights to create issues of different types, see the recent conversation at https://answers.atlassian.com/questions/33259/permission-to-create-specific-issue-type?page=1#33270
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