Was always told to let them eat as much pellets as they want at such a young age. So keep the bowl topped up. Think about six months you can start limiting the pellets.
If you use a mix you may want to try slowly introducing your bunny onto a pellet based food as they are thought to be better for bunnies as they dont selectively feed (leave bits they dont like).
Carrots are nice, but quite sweet so again, maybe you might want to offer this as a treat. I feed spring greens every day to my bunnies as not sugary and doesnt cause gassy tummies.