A few things about tweaking background insulin;
If you have a hypo during the night, do not wait for a pattern to appear, reduce your next evening dose immediately, you want to avoid those like the plague of course!
I'm not exactly sure how similar levemir is to lantus (i think it may be how it's broken down) so please someone correct me that is experienced with levemir, with lantus (another Background insulin) it's recommended you wait at least 3 days for any changes to have taken effect. It may be the same or different with levemir, i just wanted to raise that point incase it was something you should take into account.
Novorapid has a life of 2-5 hours in most people, so if you go low within this time frame after taking novorapid then it's likely to be your ratios.
If you go low after this timeframe then it is likely to be your levemir that's the problem, it's also the same as not having enough you are likely to see a rise in BG at certain times of the day (which you already spotted hence wanting to split the doses)
You could do a basal fasting test which is pretty straight foward, choose a time block, say breakfast to dinner, basically you eat either carb free foods or no food at all, and you test hourly throughout this, if your BG's stay within 1-2mmol between each test then your basal is good. However if you have a high reading or a hypo then you will hae to abandon the test as it's important you correct these first. Try the same test over around 3 days and you will be able to see if your basal is sufficient or not.
Also regarding the spilt between basal and bolus 50/50 is meant to be ideal, i'm not quite sure why to be honest, i think i asked my nurse before and she babbled on about an indicator of balance, i think it's meant to indicate good control, but i know that not everyone hits this. I certainly don't i take 23.4 units of novorapid as basal, and about 1.5-2 time that much as bolus. It's just the way my levels are i guess, if i were to try to get mine to 50/50 it would be likely to cause havoc for me, i know my nurse would probably like it to be nearer to 50/50 but all she is bothered about is that i'm happy and healthy on my insulin pump
I was told my DAFNE waiting list was big too, i had a word with my boss (not sure if you work or not) and explained i NEEDED to go on this course and would they let me have the time off for it if it came up last minute. they kindly agreed. Then i told my nurse i was able to do this at very short notice so if anyone pulled out could i take their place. She said yes. not long after i got a phone call on a thursday i think, could i go the following monday, YES I COULD
wahoo.
Could be an idea if your able to work around it, if you mention it to your nurse i'm sure that if someone did drop out she would automatically think of you like my nurse did
It's well worth going on, i've never heard anyone say it didnt benefit them!
goodluck