In my case I'll apply for a government scholarship (Chile) that pays full tuition, airline tickets, a living stipend (around US$1.8 K/Month for NYC) and some money for books, insurance, etc. Thankfully those are granted quite liberally for top 150 schools and especially for public policy studies. I'll also use some of my savings to make living a little bit more comfortable (Around US$10K or US$20K).
Mmm sure, let me think. I'm an engineer so I've got a lot of quantitative courses and experience. My GRE was Q:790 V:660 And W:4.0. I don't know how to calculate my GPA but it was probably decent (top 17% of class). LORs were 2 from private world and 1 from a teacher. I work for an airline so I've had opportunity to travel. I'd guess my main weakness is not having any experience on the public sector.
No funding shouldn't come up as such a surprise. It's listed that usually first year applicants don't get funding, and it's reserved for second year students.
I told my boss about 2 and half months before my resignation. He was well aware of the process, since he had written one of my recommendations. However, I decided to quit before I even had an acceptance, since I was working on a for-profit corporation and it wouldn't make sense to keep going if my plan was to pursue a career in the public sector.