You definitely have enough time and recommendations. I had less than you and got the application, interview and job offer.
Is it your resume that you submitted and you're waiting on an application? In that case it'll take 2-3 weeks to get an application package.
If you've already received the application and submitted it, it will take anywhere from 3 weeks to a month for them to scan in the application, verify that it's properly filled out, and "accept" it. You'll be notified by e-mail that your application has been accepted and you'll be told in that e-mail to wait for further invitation to interview.
I waited 4 months from this point until I was offered an interview. My interview was a month later. I heard 3 weeks later that I was offered a job. And my class was scheduled at that point for 4 months after the job offer because I wanted a Teterboro base which is actually in pretty high demand so there was a little wait for class there.
As you can see, this is a pretty long process, but I feel that it's been worth it because I've put a lot of thought and research into and I'm sure NetJets is the place I want to spend my career. I just can't wait to get started . . . 2 months from now. . .
Good luck!