Didn't watch the video; the thread title drew me in.
Off the top of my head, I believe the question "why do bad things happen to good people" is a red herring from a 'biblical' perspective. One example of this comes from my favorite book of the Bible, Ecclesiastes (it is widely agreed that King Solomon wrote this near the end of his life, when he was reflecting back on all that he had learned), where it talks about the 'futility' of life:
There is an evil which I have seen under the sun, and it is widespread among mankind: a person to whom God has given riches, wealth, and honor, so that his soul lacks nothing of all that he desires, yet God has not given him the opportunity to enjoy these things, but a foreigner enjoys them. This is futility and a severe affliction. If a man fathers a hundred children and lives many years, however many they may be, but his soul is not satisfied with good things and he does not even have a proper burial, then I say, “Better the miscarriage than he, for a miscarriage comes in futility and goes into darkness; and its name is covered in darkness. It has not even seen the sun nor does it know it; yet it is better off than that man. Even if the man lives a thousand years twice, but does not see good things—do not all go to one and the same place?”
A secular example I can think of comes from our own pop culture:
Life IS pain, Highness. Anyone who says differently is selling something.
Sometimes, pain happens when it shouldn't, sometimes it doesn't when it should. Bad things have happened in my life, including many of which I've caused directly and indirectly, for which I've been mad at God for 'allowing to happen,' so I've asked this question myself. Anyone that wants to 'blame' God for that needs to take it up with Him directly. I've done that too, and the closest thing to an answer I get is akin to what God told Job in the book named after him. TLDR version, God spends two chapters listing off things He did/does, from creating the universe to setting up the mechanisms for life and the physical cycles of the earth and more, then asks Job:
Will the one who contends with the Almighty correct him?
Further adding:
Would you discredit my justice?
Would you condemn me to justify yourself?
Do you have an arm like God’s,
and can your voice thunder like his?
Then adorn yourself with glory and splendor,
and clothe yourself in honor and majesty.
There's more, but I hope I've made the point that believers in God don't have and will never have a full enough picture to justify life's evils to the world at large, and can only cling to their faith/trust that God knows what He's doing, and no matter our perceptions and opinions, He has the best/most perfect outcome already waiting for us at the end, whenever that is.