Yes, of course God loves His children. The Lord reminds us in D&C 121, 122, and 123 why afflictions are allowed on good people by our loving and devoted God. From these sections, I can conclude at least six main reasons for them.

1. Sin — Transgressing God’s law will bring negative consequences.
2. Experience — Trials bring to our spirits vital experiences through which we learn new things.
3. Agency — Man has the freedom to choose, and God must allow it, and He cannot forbid it. It was decided upon in the Counsel of Heaven before the world was.
4. Covenants — The righteous are rewarded for keeping them, and those who falter are offered the way to make it right through trials.
5. Trust — Trials build a relationship between the Godhead (our Heavenly Father, Jesus Christ, and the Holy Ghost) and an individual.
6. To condemn the wicked — Tribulation caused by wicked men who persecute the righteous dominion can then be judged accordingly.

Items 2, 5, and 6 are particularly interesting. Many non-members, or those who are unfamiliar with the Gospel are frustrated or mad at a god that could send destruction and other bad things to righteous or innocent people. The Gospel of Jesus Christ, as proclaimed by the Church of Jesus Christ of Latter-day Saints, answers these types of questions.

What other questions have the teachings, doctrine, and scriptures of the Church of Jesus Christ of Latter-day Saints answered for you? Or, if you are not a member, what questions might you have?