When you look at your CGM track when you do a correction how long from injection to when it stops coming down? Need to look when still high 4 hours after a meal with out a lot of fat. If you stop dropping in less then four hours then you will need to reset/shorten you DIA. It can vary from person to person and can also vary with type of inulin you are pumping. I'm using a Tslim with novolog and was first set up with DIA of 5 hours - for me its really about 3:45, so i had to change that.
Carb ratios will vary depending on time of day and when you work on those after you get the basal dialed in then you will need to keep records of food, bolus dose and time of day. I have a different IC ratio as well as a different CF( or sensitivity on your pump) depending on time of day. If you like to do set piece meals at set times then carb counting will actually be easier, Use a food scale to weigh your usual carb portions then use the info on label nutrition panel to calculate carbs. Once you have your usual meals down then you can keep a list of carb counts for meals. using a food scale in the beginning helps you learn what true portion size is so when you go out to eat you have a better wild a$$ guess.
Insulin sensitivity would be your correction factor - sounds like its currently set for one unit to drop your BG 50 points. This may not be correct for you at this time. When you do a correction with no active food or bolus, can you see from your CGM how much 1 unit really brings you down? you can just divide the drop by the amount of insulin to get that number. Be aware that like IC ratio this will/can change with the time of day. What I have found for me is that I need a bigger correction dose which means a lower sensitivity factor over night while I'm inactive than I do during the day when I'm on my feet all day. You will need to work this out for how your body and activity times/levels work.
Your basal will need to be adjusted first, if you dont then you IC ratios will be off as you would be using basal to cover carbs or if you off the other way using bolus to cover basal.
From you CGM you can see that you are heading back up over night with no food or bolus working. This means you need to correct your basal rate for the overnight time frame. If you can see when it starts to trend up then 2 hours befor that is when you need to increase your basal rate.I don't know how many time segments you can program with your pump, mine lets me have 16 so I use a few to help cover my dawn phenomenon.
How much I would increase my basal would depend on where it is now and also how much my total daily insulin dose was. How much are you currently using as basal, bolus and how much are you correcting. If you are a low total insulin user(10-15U total daily) then I would go with 0.1 U increments but if you are using a lot (30-40 or higher) then I would use a bigger increase.
Are you familiar enough with your pump to run a temp rate over night? you can use this to trial an increase. Another option is to set up a second copy of the existing program that you can play with. That will let you see what changes work and then you bring them back to your main program. That way you still have your original settings as a reference.
What is your target set to at this point? Is it different from what worked for you on MDI? I found very quickly that the 100 I was set up with on pumpstart did not work as well as the 85 I had successfully used on MDI. When I began to drop my target I got better results. I use a Dexcom G4 so was able to do this safely, and did it in stages. The combination of the tslim bolus calculator and my eyeball carb counts seem to work better when I use 85 as a target. It means I tend to run in the low 90's when no food or bolus working.
Just be aware that most pumpstarts get done with very conservative settings. Its alot easier/safer to bring highs down with changes than to have to deal with the endless low until the too high basal/bolus/correction doses wears off.
Give me a shout if you have more questions. If your doc wont help enough then you might want to check out Gary Scheiner's online site - they do remote/online pump tuning and lots of good stuff. He is the author of Think like a Pancreas and is a CDA with T1! He is also has a few video interviews on this site, so you might want to check them out as well.
http://integrateddiabetes.com/