Will everybody on Earth die when natural resources run out?

No, they just buy more, like every other time before, when they run out. It is called supply and demand.

Most natural resources are replaceable and/or regenerable, so that will not be the end of everybody.

They just get more and more rare over decades----and the population simply gradually drops to sustainable levels, just as gradually. its not like we wake up one morning and everything is GONE. Besides, we live mostly on RENEWABLE resources anyway.

I don't see that as a when. Nature is pretty freaking vast and filled with resources. Humans will die out from lack of food, and from disease, most likely. It won't be lack of resources being in existence, but a matter of inability of humans to get resources from where they are found to where humans are to use them.

Resources will not "run out". We might demand them faster than we can provide them, though. Not just might, really, more a case of likely will eventually happen. The earth itself won't die from it. Humans might. Or I should say, lots of humans WILL, but probably not all humandkind will die. The numbers will simply crash until balance is re-achieved. The earth will outlast humanity.

No. Renewable energy is energy that is collected from renewable resources, which are naturally replenished on a human timescale, such as sunlight, wind, rain, tides, waves, and geothermal heat. Renewable energy often provides energy in four important areas: electricity generation, air and water heating/cooling, transportation, and rural (off-grid) energy services.

Yes.

what do you mean by run out?

No