Multiple filters

Hey, guys. I need to release search form with: category drop-list, text input named "name" and another one named "profession". All of them should work at the same time and specify the content.

For example imagine a catalog of people with different professions, names, and categories.
If type "Jhon" in the field "Name" it is going to rid off all over, but it keeps all "John's" with different professions and categories. If I type "engineer" in profession field, it is going to leave all "Jhon's" with engineer profession.

Does your plugin provide such kind of functionality?
Can I work with droplists?
Do you have API?