After A&S do you go straight to a school or go back to your home station (for cross trainees)?
You will go straight to pre dive school, then dive school, then back to your duty station to PCS to Kirtland. Make sure you check out the pipeline page on the website as well.
Would you recommend getting emt-b before joining Airforce?
No, unless you have a lot of time before you join the military for some reason. You will get all that stuff when you get in, and it doesn't really save you much time since emt-b only takes 1 month in the pipeline. Not to mention it’s free in the Air Force.
How do you get assigned to a unit once you graduated from the pipeline? Is it based on where you live in the states or is it random?
Usually, when you are about to graduate the have a list of available bases on the board and they rank your performance throughout the pipeline, the top guy picks first and so on.