Well here is what I would do .
For the crack . Take the pipe out and use thin CA glue . Clamp it prior just to the pint you have a fine hair crack . Apply the glue and then clap it quick . Within about 2 Min it will be done and cured
don’t use super glue from the grocery store . Get quality CA from a place like Horizon or Tower hobbies ..
CA was originally designed for medical glue . But today its use to make everything from the bottoms of jet ski Hulls to high end serf boards .
There is even a CA designed to bond steel
If you have never used Good CA , I warn you . Its SUPER glue on steroids.
So if you’re the type that’s kind of a fumble fingers , get you the release agent while you getting the glue
Now for the repair of the broken area . Your going to need a patch if you don’t have the original piece . You want the patch to be a nice tight fit Take your time in making it and you should be able to blend it out to the point it wont be noticeable unless your looking right at it .
Now stain it to match . Once you have that , you can the use that same CA to glue it in place . Glue it from the pipe side and let it wick down in the crack . You don’t need a lot of the CA .
The CA will hold a 1000 times better then white glue . However it will not take a stain , so keep that in mind
Then you can come back and using the off side hole as a guide , re drill for the pipe pin