Hi
@Cathylondon, from my experience on insulin for 51 years, but is not professional advice or opinion.
I would report to your dsn what your bsl readings are 2 hours after meals ( to see whether the novorapid ( bolus) doses are doing their job), and what your fasting bsl is to get an idea of how well your night time levemir is working.
If you were willing to spend money on a Libre device you could obtain a graph of your bsl readings to better.
You may also wish to discuss with your dsn about testing your basal dose ( as raised bsls despite adequate bolus could suggest insufficient am Levemir).
Also a low carb doet often means high protein as well and about 50 % protein is said to be converted to glucose at about the 3 to 4 hour mark after a meal, when short-acting insulin is on the wane. ( and the Levemir is holding the fort and keeping bsl in range). Best Wishes on getting things right !!