I know that this is an old thread so forgive me for bringing it back up to the top of the list.
As a repair professional having worked on many of these phones, I thought I'd chime in and provide whatever useful information I could provide especially for anybody searching Google look for answers.
As far as the LG G2's digitizer, the OP's digi is effectively dead. Dead spots are usually caused by low-quality digitizer assemblies and are commonplace when doing a glass only repair. However, this may be a cause of function degradation over time which I'll explain shortly.
One of the problems the liquid optically clear adhesive (LOCA) solves is glass flexing. The glass used on these phones is particularly thin. And, as I'm sure the OP has seen, the slightest pressure causes the glass to come in contact with the LCD producing the 'bubble' effect that many people see in phones and devices where LOCA was not applied after the repair.
On many phones, particular Samsung devices where the digitizer is adhered to the LCD instead of the glass, this only shows up as a cosmetic problem. On the LG G2, unfortunately, the bowing and flexing of the glass actually causes damage to the digitizer over time causing those kinds of dead spots and eventually complete failure.
You can usually get sheets of 'loca' from online suppliers like those found on eBay and Amazon. While these generally do work, they never look as good as the original, especially if there are small scratches on the surface of the LCD and when working in an environment that's not dust free. For most people, that's not a problem. Personally, I would recommend just buying the glass/lcd assembly as it's already been assembled with LOCA and cured under UV light. So far I've had very few problems with them. It's usually cheaper to go this route in the long run even though these assemblies are usually around $75 ~ $85. The end result is a lot better.
These phones are well built. The only real flaw I see is in these designs is that the digitizer is attached to the glass so as soon as the glass breaks, the digitizer almost always goes with it. Samsung Galaxy devices don't have this problem which is why they're more suited to glass-only repairs.
To the OP, I hope you've been able to solve the issues with your phone! It sounds like you learned a lot about them and I hope you appreciate the design choices that went into these phones -- it's one of my favorite phones to work on.