Our Rabbit is pregnant again!!

Hi

We had a surprise litter 3 weeks ago, so we separated the older rabbits but Im not sure if it was too late. The male is booked in to be nutered.

The doe looks very large and is eating constantly. Could just be because she is feeding the babies.

However I just wanted some advice please
If she does give birth to another litter do I remove the older ones? Even if they are only 4 weeks old? They are already hopping around and eating pellets/hay.

Also is it ok to put the mother out in the run away from the babies? I've not done this as I didn't want her to become stressed if she was away from them but feel guilty as she is used to having a run around all day everyday.

Thanks for any help