No clue what the footprints are (or if they're correct), or why they need so many ground pads... I'll assume you've checked that.
It doesn't look like there's clearance around any pads, or if there's +V or anything going on here. That might just be the pictures.
I would note this: avoid via-in-pad unless you have a very good reason for it (e.g. because you have no choice as with QFNs, or for heat dissipation). I guess you just copy/pasted the grid there, so, just shuffle those around a little where they're touching things.
If all you're doing is slapping stuff together over ground, without having to cram it together around everything else, there's not much you can screw up. It's when you need things tight, and correct, and you're doing impedance elements in the board, that things get really tricky.
Also, if you have nothing on inner layers at all (just ground), you might as well go with a 2 layer build. 50 ohm coplanar waveguide is quite a bit larger at standard board thicknesses, but it doesn't look like you'll run out of space or anything.
Cheers
Tim