size comparison is mostly not accurate because of variances in birth weights. Alabama deer can run from just under two pounds to over six at birth. Northern deer usually run a good bit larger.
My Gurlz, I have two doe fawns. One is 5 weeks old today and the other is 6 weeks today. Their bowel movement is like yours. They also pee on their own and are very active. Hope this helps.
If the eyes are still tinted blue, your fawn is less than 2 weeks old. Fawns are born with a light or dark blue haze to their eyes, they loose that blue in 10-15 days.