Considering how small the hand painted areas are, it doesn't make much sense to include the brush paint bottles.
Small black dots in the primary hull recesses (upper left)
Silver paint in the rear ridge centers of the warp drives (Upper right)
Two small red dots on the top of the bridge (bottom)
You can't brush paint the black into the round recesses. You could dip a sharpened dowel in the paint and touch the centers of the recess making a round dot.
I used Sharpie pens.
Rotating a larger round point pen in the hole left a center where the tip couldn't reach.
The Sharpies came through again.
This Klingon nose cone reminds me of Squidward.
The "Bonus" kit included a bottle of red paint - for these two little dots. No other red on the model.
If you've got a decent square brush, it's easier than you would think.