Why interpretations: There is an experiment you can do that is hard to explain: Either particles are able to somehow influence each other faster than light (non-local), or the particle somehow doesn't exist except when interacting with some other particle (non-real).
Try this video: https://www.youtube.com/watch?v=zcqZHYo7ONs the AHA moment in the video comes when you realize you can entangle the light and that adding a filter by one stream of light somehow causes the other stream of light to also be influenced.
1. Subatomic Matter is by default both mass and a wave, but when "observed" it becomes a particle as we know it i.e. with mass.
2. Atomic bonds are formed due to electrons (waves) being shared between adjacent atoms.
Hope I have some parts correct. Perhaps someone can shed some photons.
Here is a few books you can read on the subject. They do a pretty good job on describing what the issue is and what the interpretations mean:
Max Tegmark - Our Mathematical Universe
Sean M. Carroll - Something Deeply Hidden
Adam Becker - What is real?
Here are some things you can google if you want to just skim the subject: Wave–particle duality, The Measurement Problem, Quantum decoherence, Copenhagen interpretation, Bell's theorem, Superdeterminism, Many-worlds interpretation, Ghirardi–Rimini–Weber theory (GRW).
Last but not least, look at the Wolfram Physics Project. (https://wolframphysics.org). The take on quantum mechanics if you go along with the idea of hyper-graph is fascinating (to me)
One idea is known as the Copenhagen interpretation.
It basically says that the wave-like effects we associate with matter is merely a wave of probabilities. Or in terms of the double-slit experiment and in other words, light behaves like a particle, but the wave-like effects you see is just the result of probabilities where the particles end up. Dark areas are areas of low probability, and lighter areas high probability.
One might imagine the light particles streaming through the slit end up having slight variation in trajectory from one particle to another (for various reasons such as interference with other particles), which results in areas where most particles end up and others where few end up... representing a wave.