Our 3D night vision goggles feature a 400-diopter adjustment range, allowing most users to achieve a clear view without glasses. However, if you prefer to keep your glasses on, you can still use the goggles comfortably. 

This is more a question of your glasses and not the lamp. She produces light. If your glasses have an anti-reflective coating, the lamp will not be reflected in the glasses, depending on the level of anti-reflective coating. (It should be noted here that the anti-reflective levels trigger different colors, level 2 triggers a blue tone in the glasses, level 3, which is the most recommended for working on the PC, triggers a green tone. This goes badly with a green screen , if the plan was to connect this to it) 

Personally I always remove my glasses to use binoculars, but of course it would be individual choice, not something I could advise on with any guarantee. These were a present for someone else. 

Yes. The binoculars have adjustable rotating eyecups. Those who wear glasses will be more comfortable viewing with the shortened eyecups, while those who do not wear glasses usually prefer the longer eyecups.  

No don't use this for that purpose. Use a properly designated "Solar filter"