Well the battery thing sounds like a hardware issue. The driver loading thing could be that your not getting a complete total shut down and you still have hybrid sleep active. The Default for Windows 8 and 10 is for shutdown to use hybrid shut down which only puts your notebook to sleep. That causes all kinds of issues with drivers loading on wake up. This is all I can think of just now.
Don't know about your particular warranty most are only for 1 or 2 years 3 years can be purchased during the first year you own it.
G752VY-DH72 Win 10 Pro
512 GB M.2 Samsung 960 Pro
1 TB Samsung 850 pro 2.5 format
980m GTX 4 GB
32GB DDR 4 Standard RAM
Z97 PRO WiFi I7 4790K
Windows 10 Pro
Z97 -A
Windows 10 Pro