i should research some figures, but the earth is really a heavy place. i do feel you figures are a little high and what reaches the ground is maybe a ton a year. now, quite a few meteors are made up of ice and rock combinations. these burn up quickly and add some to the atmosphere, hydrogen, oxygen and carbon by products from the burn.
the addition to the overall weight of earths mass, over a billion years may be one percent, of what was then. your gravity notion was one i put up for a possible cause of dinosaurs extinction 65 million years back. this was based more on a felt, missing component to gravity, than mass to create gravity.
to me a spices that thrived well over a 100 million years, continental shifts, what should have been a good deal of volcano activity, asteroid and comet hits, plus total dominance over life, would die off so suddenly or could have been from all it had previously survived.
i do not, but some have suggested the moon was formed from earths matter some time back. you are probably correct in that more mass was collected in the first billion or two years, but even there the totals would be limited, to allow a cooling of the planet. Jupiter has over 300 times our mass, we know gets hit often and is still in the gaseous state.