Some points in the Bible that can lead us to an answer as to why there is suffering: (Interestingly, we find them right at the beginning.)

I Genesis 2:25 And the man and his wife were without clothing, and they had no sense of shame.

II Genesis 3:1 Now the snake was wiser than any beast of the field which the Lord God had made. And he said to the woman, Has God truly said that you may not take of the fruit of any tree in the garden? And the woman said ... (G. 3.3) But of the fruit of the tree in the middle of the garden, God has said, If you take of it or put your hands on it, death will come to you.

III Genesis 3:4&5 And the snake said, Death will not certainly come to you: For God sees that on the day when you take of its fruit, your eyes will be open, and you will be as gods, having knowledge of good and evil.

IV so they ate from the tree, because they wanted this knowledge and power Genesis 3:7 And their eyes were open and they were conscious that they had no clothing and they made themselves coats of leaves stitched together.

V When God spoke to Adam and Eve, they went into hiding, then told him the full story. Genesis 3:14&15 And the Lord God said to the snake, Because you have done this you are cursed more than all cattle and every beast of the field; you will go flat on the earth, and dust will be your food all the days of your life: And there will be war between you and the woman and between your seed and her seed: by him will your head be crushed and by you his foot will be wounded.

VI In Genesis 3:16-19 we learn how mankind should now live, namely no longer in paradise, but rather under hard work and pain he should ensure his survival. And yet God continues to worry because he makes both clothes (G. 3:21)
Then God prevents man from eating from the tree of life, so man becomes mortal. G. 3:22-24

So, the snake (Satan) claims it is better for man to decide for himself what is good and bad, rather God. And man (humanity) decides, yes, we want to decide for ourselves.
So what is God doing? Is he killing the 3 people who question him?
NO, he says: OK, well, try it on your own, prove whether it is better to decide for yourself or to follow God's advice!

And in Genesis 3:15 we learn that Satan is becoming the enemy of men. There will be a fight for every soul. - Later God chooses certain men (e.g. Abraham) and a people (Volk Isreal) to show whether people are better off if they follow God or not.

I don´t now if this all is true and I struggle a lot to believe in God, but I think, these verses in Genesis make a lot of sense.