Concerning your backgroun injection, this does really need to be a timed injections, same time every day as near as possible...
The problem with background it last for around 24 hours, sometimes though to get best effect of coverage, either due to it not lasting long enough in an indiviudal, or one part of the day needs a higher requirement of background, so this leaves you facing at one point not enough, and the too much, it can be split into two timed injection, so you can adjust as needed...
But to injected the background evring times on a daily bases, means that you are unlikely to maitain good control as it will alter how it's dealing with what it's doing and not matching the needs to create a decent basal line to work from, when considering carb -insulin ratios for covering food..
And sometimes, changing the timimg of the background jab can help control, matching the needs required to deal with how the liver is tickling glucose into your system...
I use a insulin pump now, but when I was on injections, I found that I had to split my Levimer into 2, as my morning needs were a lot higher than evening/nite time, this helped to reduce night time hypos, and also morning high to some extent... I found for me, that injecting at 11pm and 11.30am, gave me the best effect... where as my husband (also T1) finds that 1 injection of levimer at 10pm suits him down to the ground..