Thinking about switching from Nexus 5, few questions

1. Does the 1080p resolution result in visible pixels? How well will the phone do with a VR headset due to the low resoution for a 5.5 inch display?
2. Battery life of my N5 never was good, after 3 years of use it's really bad. How much of an improvement can I expect?
3. How much more power in real life experience can I expect from the Snapdragon 820 compared to the N5's 800?
4. Do you think the switch is generally worth it? I was thinking about waiting for the new Nexus devices, but the pricing of the N6P makes me think I won't get as much bang for the buck as I do when buying the Oneplus 3.

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