句子语法没有错,但不逻辑,
英语我们说 weather is fine/good/bad,等等
（天气 好,不好,...）
一般不说“天气热” (the weather is hot)
但你可以说 It's hot today （今天很热） .
至于新概念的句子,
“the weather's often cold in the north and windy in the east”
第一句改为
“It is often cold in the north and windy in the east”
比较逻辑
第二句
“our climate is not very good,but it's certainly interesting”
没有错,完全正确.
我是加拿大人,英语是我第一语言.