Anyone can advise me on half marathon race pace?

Race is in a month exactly. My plan is to sharpen up for 3 more weeks, with a 10k at HMP, 12k 14k at HMP before tapering for about 10 days. I have built to 19k for my LR @5.40 steady (over the past 12 weeks), and just two days ago I ran 16k with the last 4k at 5.10 semi comfortably. I ran 8k @ 4.55 2 weeks back as a sort of race effort gauge which is slightly above my threshold, but last week had a terrible run and only hit 5k @5 flat before calling it quits on small niggle (which turned out nothing serious). Runalyze points my HM timing to be about 1.48 meaning a 5:09. Can I realistically sharpen myself in 30 days to run 5:00 for the entire half? I don’t want to blow up early and am quite conservative.