Hi,
I agree with Chris that it looks like the dose needs to be reduced so that the numbers can level out a bit, and so that you can give shots am and pm. My 'feeling' is that .5 of a unit would be a good starting point. And you can always increase if it isn't enough. (But see what others say also.)
Regarding giving the shots, and 'pushing the plunger' before getting the needle in place: It's OK to take a long deep breath and just slow down.... When Bertie was first diagnosed I hated giving shots (was needle-phobic) and messed up quite a few by trying to rush the process. I just wanted it to be 'over'! Then someone gave me the tip of mentally counting to 5 while giving the shot. The counting gave me 'space' to ensure that I was giving the shot correctly. I could check that I had inserted the needle properly under the skin, then press the plunger, then press again for good measure to make sure I had completely emptied the barrel of the syringe, and then withdraw the syringe. I don't know if this will work for you also, but it might be worth a try...?
Eliz