Could your levemir be giving you a somogyi effect?
"Chronic
Somogyi rebound is a contested explanation of phenomena of elevated blood sugars in the morning. Also called the
Somogyi effect and posthypoglycemic hyperglycemia, it is a rebounding high blood sugar that is a response to low blood sugar."
By increasing your units it has possibly increased this effect.???
I'd suggest you monitor your bgs hourly through one or two nights (by setting an alarm). To get the full picture before adjusting your units. Well, I would, if oked by my team to adjust myself. Or like suggested a basal test to see if your units are the correct level.
I'm sure you will get to the bottom of this.