I don't know the actual answer to your questions but I have some ideas.
In this situation I think it's likely that either your overnight basal is insufficient or that your evening meal raised your blood glucose longer than you're used to. That can happen if you've eaten more protein than usual or even a higher carb higher fat meal.
We'd all like to think that if we do the same thing day after day then we will experience the same blood glucose results. While this can be generally true, diabetes does not play fair and unexpected blood glucose numbers are part and parcel to diabetes.
These are classic dawn phenomena symptoms with its insulin resistant characteristics. The best way to combat dawn phenomena with a pump is to adjust overnight basal rates upwards to get a flatter and in-range blood glucose profile. Remember that you need to change a basal rate two hours before you want to see the effect. Higher blood glucose numbers will often take more insulin to drop the BG than a lower high. In other words it can take more insulin to drop a 250 to 200 than it will take to drop a 150 to 100.
It could be coincidental and you just needed some extra insulin at that point. Or it might mean that your insulin infusion site is getting "stale" and does not absorb as well during the third or even late in the second day. Trying fresh sites that you've never used before might help here.
Sorry I can't be more conclusive but I think you can use some trial and error testing to address your higher BGs. Good luck.