[Q] HDX 7 LTE Device options topic

I have been searching for answers for the following questions and have found some answers. I would appreciate any support

Device: Kindle Fire HDX 7" LTE 64GB
OS: 13.3.2.5_user_325001120

Questions
1. Is this device rootable - Yes (found answer from searching forum) by using HDX Toolkit .95
2. Can I install a ROM?
3. If I can install a ROM will i lose my LTE functionality? Which ROM supports LTE
4. Can I prevent the device from getting OS updates while still able to surf the internet on device?

I would appreciate any links to tutorials for question 2.

Thanks

Bumbo