Look up IPC-7351 (the old version is free, and you can find the proposed revisions for A and B for free as well; or just look a little harder for the full, current version). The pad area is an LGA style joint, with ~no height (it's not a BGA), so has ~zero fillet. The leads are flat, so can have side and toe fillets.
Starting with the datasheet footprint: I wouldn't make it so wide, 2.1 instead of 2.8mm. The pad gap is alright, but the recommended 0.5mm isn't really any harder to manage. I might use 0.6mm. The width will give more than adequate side fillet, and the overall length will give more than enough toe fillet, fine if you ever need to hand solder it, too.
Connecting: via-in-pad is alright for a pad this size. Use small (<= 0.3mm i.d.) vias, maybe 4-8 of them. Around the edge: eh, direct connect to pour is alright too. Keep in mind, the more copper you have heatsinking it, the harder reflow will be, and the more preheat the board will need.
Tim