Can each CPT have different search bar?

Hi There,

Two questions:
We have three different pages we would like to create, each with its own CPT:
1) Business Directory
2) Events
3) Jobs

Question #1: Is it possible to have three different search bars with their own fields, or must each of the CPTs share the same search bar?

Question #2: If possible to have a different search bar for each CPT, then can we show just the categories dropdown and not show the CPT dropdown?

For example, right now we have in the search bar these fields:
– CPT Dropdown (Listings, Events, Jobs)
– Category dropdown
– search for: [keyword]
– Near:

What we would like instead is:
– Category dropdown (within one CPT such as Business Listings, eg Restaurants)
– Child category dropdown (eg. Vegetarian, Chinese restaurants)
– search for:
– Near:

Thanks
Bipin