Well, the images won't win any awards, was just a quick test :)
Looked like flip green was needed (otherwise the reflection in the droplets was upside down). I also started with changing the filtering as I'd suggested, and you can get a much sharper look - Tent width 2 is the default, but you can go Tent width 1, Blackman Harris width 1, or None. You could also use Sharpen/Blur in the VFB to sharpen some more if it wasn't getting oversharp by that point.
Without the original scene, I can't look at differences in lighting and how that might be tweaked, there did seem to be some differences there (the HDRI not being at the same angle maybe? It wasn't much and may just be expected difference between engines, but couldn't say without looking at the scene whether or not the Corona lighting could be tweaked in some way to look more like the other - even things like Highlight Compress etc. could make a difference to the vividness of the image).
Edit Wrong Tent 1 uploaded, wasn't cropped, adding that now.
Also, JPG artefacts show up in the normal map, at least in this smaller JPG version.