It's fine, for the most part. There are some things I personally would have issue with. You'll get better with practice and time, like all of us.
I guess the main thing I could start with is that within this passage you are more telling the reader what is happening, as opposed to showing. What I mean is, you are making statements about what is happening rather than detailing descriptions. When you only tell the reader what is occurring, it is harder to get them invested in the story. It just comes off as less interesting than it could be.
For the first paragraph, you're world building, but instead of an immersive world, it sounds more like a map guide. And it's a difficult to follow map guide due to the lack of details. It's kind of hard to explain, for me so I'll just do a simple rewrite. I'm going to add a few details, I hope you don't mind:
(Some other notes about the first passage. It's hard to tell where we start. Is it in the north, or in the south? What land hasn't had water in a decade and where is it located. I assumed the north. But it makes the structure of the sentences weird if that's the case. Why start north, move south, and then go north again? Is it that important that the lack of rainfall be mentioned first? Can it be moved to later in the passage? I think so.)
"The Kingdom of Ice, guarded by tall, snow capped mountains, is surrounded by dry, arid lands of rock and sand. The only water available flows from the frigid, southern kingdom since no rain has fallen on the barren land in over a decade. In the northern wastelands, crowned by an active volcano, lies a dying forest. Nothing populates it except for the corpses of trees, bushes, and flowers. On the side of the thunderous volcano, is a village of the elderly, disabled, and unwanted. The people there live a quaint, but perilous life; always in fear of the volcano erupting, always in fear of being blown off the mountain side. But among them, is lively, old woman always clad in a azure robe. Each week, she comes down from the mountain and trek to the nearest stream that came off the southern river to clean her clothes. Another week, another basket of clothing to be washed.
Some technical things:
This sentence should read There hasn't not There haven't.
I agree with @Wocalich, be wary of your tenses and keep them same all the way through.
This sentence is especially weird because the setting feels like fantasy, but "weather forecast" is a modern term. I'm not saying you can't use this phrase, but just make more sense to say plainly that "The wind blows violently" instead of saying forecast.
That's all I have, there's only so much to say with a small snippet. Hope this helps!