[verb phrase / time] + 以后,[clause]
以后,[clause]
[verb phrase],然后 + [verb phrase]
[past event],后来 + [clause]
以后, 然后 and 后来 all point to something that comes after. Each fits its own slot, and they don't swap.
Only 以后 can follow a verb phrase or a time word to make "after X". 然后 and 后来 stand on their own.
然后 links steps in order: plans, instructions, or a list of what happened. It works for past and future alike, and often pairs with 先 "first".
后来 is only about the past, and it implies time has passed: a change, the next chapter. It doesn't list steps.
On its own at the front, 以后 means "in the future" or "from now on". 后来 can't do this.