Do you split your Levemir, and have you done a basal test to see if you’ve got the dose(s) right? I usually need to give myself an extra one to two units of Fiasp between dinner and sleep as like you I find that for me Levemir’s profile isn’t the same as the graph given by the manufacturers. I think it’s harder to make it last if you need relatively lower doses.
I use half unit pen to make juggling with demands easier, and a half unit pen for Fiasp too, but I notice that whatever I do T1 seems to have a mind of its own and what works well one day will go awry the next.