Nvidia Shield Tablet 4G/LTE - Har ett par problem som jag söker hjälp med!

Hey every greenboy-owner out there!

After some very careful thinking when looking for a tablet with LTE/4G support I ended up buying a "Nvidia Shield Tablet". I was very thrilled after reading some reviews, watching a couple of unboxings and walk-throughs on YouTube etc.
But the joy quickly took a turn from excited to doubtful after a few issues have started to arise already after a week of use.. I am now looking for advice in solving these issues, or if I just have to learn to live with them or return the product (got 6 days left to return the product for a full refund if I am not happy with it).

1 - LTE/4G.
Problem: Sometimes the Wireless internet goes from 4G/H+ to E(edge) out of nowhere.. One second I have full speed (40+mbi/s) and the next for a couple of seconds the speeds go down to around 0.5mbi/s and stays there for intervalls of 5-15sec then goes back up again to normal. This seems to happen in patterns, and is noticable while using Crunchyroll/Netflix/Dowloading from the Play Store.

I've tried 2 different carriers on different Networks and the problem persists. Is this normal for this Tablet or might there be something wrong with it?

2 - System Freeze/crash.
Problem:Randomly the tablet freeze up and I have to force shut it down by holding the power button for around 10s. This problem occurs at random, after 5 min of use or several hours, and which app(s) is running doesn't seem to matter either.
The problem doesn't seem to be overheat related either since I've never noticed anything out of the ordinary (My G3 get's substantially warmer in comparison).

When getting the tablet I immediately updated all the OTA's (Lollipop 5.0.1, last update check May 1st, 2015).
I've tried resetting (factory restore) the tablet after updating as well, but to no avail.

3 - Battery drain.
Problem: The tablet is draining battery just as fast when screen is turned off as when playing light games like TCG's or reading news. I knew the Tablet had drain issues, but I thought that got fixed with the latest update released for Lollipop in the beginning of April?

It can go from full charge to empty in less than a day on standby, in comparison my "Huawei MediaLink 10+" (10" tablet) can go for over a week without charging if I don't use it. Only background apps I have running is Avast antivirus, rest are just games/news-apps/media-apps(youtube, netflix etc) and they all have Notifications turned off. Google Sync is Active tho.

4 - Root.
Last but not least I am wondering about the Root-Capabilities of the NST, is this legit and worth trying?
https://forums.geforce.com/default/topic/819866/shield-tablet...

Again, I am on the latest Lollipop release for this tablet.

Thanks in advance, sincerely
PHXGaming ~