I've got six. The newer HR types don't put as much weight on types as much as they used to. Even less if the types were not done at a 121 carrier. Most of their training programs are geared toward the CFI to RJ type pilot.
The CA boards, instructors and everybody else recognizes the significance of passing multiple 121 type ratings.... but it's kinda lost on the initial HR folks picking apps from the pile. They tend to value volunteerism over type ratings.

Networking is how you get jobs in this market. Every airline has more apps than jobs currently. You need a way to get noticed or pulled. Job fairs until they are sick of seeing you and interview you, or networking your tail off to get so many internals that HR is afraid of a mass revolt if they don't hire you.

You're strill not hired yet? with all your "qualifications." Maybe it's not the qualifications......
I'd go back and read JohnBurk's post again that he sent you.