@JJO welcome. Whilst
@Kristin251 is providing a point of view on living with Type 1/LADA, it is not the only way and there are many approaches that have seen people manage just as well with carbs. I'll just state at this point that I tend to eat a lot lower carbs than the medical community recommends, but you don't need to completely eliminate them from your diet. Having said that, if you are on fixed bolus doses, you will need to adjust insulin for it, as low carbing will cause monumental hypos. This page will help you understand how to do this:
http://www.bdec-e-learning.com/
You may also need to adjust your levemir, and this one describes how to ensure you have the right levels:
https://mysugr.com/basal-rate-testing/ Incidentally, MySugr is also the world's most popular recording app, and there are many people who find it really useful, so it might be worth you taking a look at for your other query.
It's also worth mentioning that T1 and T1.5 are essentially the same thing. The only obvious difference tends to be the amount of time that the onset takes. Given that you are now seeing bg levels in the teens, T1 or T1.5 is really irrelevant!
Having said that, the key relationship is between what you do and eat and your blood glucose levels. What logging does is allow you to understand what is happening to you and to see patterns of both behaviour, food and reactions between insulin and the food you eat. Have a read of this
http://bit.ly/d_3Rs to help you understand - I've found it to be an effective way of using logging.
Basically, it breaks down into three pieces, and early on in your diagnosis it's good to get into the habit of this, of Record, Review and React.
If you Record everything, at first, it means that you simply have it there. Why is this important?
It allows you to take responsibility for managing your own condition, which is critical in doing well with it. The quote from Simon Heller in my signature is very apt in this case, and learning the tools that enable this is really important.
What are these later steps? Review. Look at the data. Look at meals and the effect they have on your BG level. Look at exercise, sleep, stress, etc. This helps you to build up a picture of what happens when you do various things and to understand which of those may need to variation in order to optimise your glucose levels.
Then you React. That's making small changes, one at a time to address the patterns that you saw when you reviewed your data.
You don't need to do this all the time, although many do. As I mentioned earlier, it's a good habit to get into. As you understand about Carb counting and adjusting insulin doses, yo'll see that these require you to go through this process to understand how it all works effectively.
As you've mentioned, you are seeing that you hypo quite regularly. If you record your glucose and food intake consistently, it should help you understand what the cause of that is. The reality is that fixed doses of insulin don't really work on a basal/bolus regime, so work your way through the BDEC course I linked to earlier to understand better how that will benefit you.