Hi connersmum...
I am confused by your post
I'm reading it has that you reduced levimer (his background/basal insulin) due to being high?
And from the rest of your details you seem to be given the levimer verious times of the day...
Levimer is a long acting insulin, AKA background, basal insulin which is inject to tackle the glucose that comes off the liver to maintain stable glucose when not eating...
It is designed to last 24 hours, injected at the same time every day once a day, some people find though to get a stable basal profile they split the dose into two timed injections (AM & PM) so they can adjust to better..
By what you've written you need to be looking at the levimer and how you are injecting this, and working to stablise his basal..
It is likely that his insulin needs will need adjusting as he grows, also hormone activity as he goes through his teenage years will also effect his control...