RE: inserts on a carbon arrow
Don't use heat. It is bad on the resins that hold the carbon fibers together. Find a drill bit that just barely fits into the shaft and put it in the nock end of the arrow shaft. Go outside to an area that you have some room and where you can safely do the following. Starting with the arrow insert end pointing up, sling the shaft in a downward whipping motion toward the ground so that the bit races down the interior of the shaft and beats against the insert. Do this repeatedly until the insert comes out. After a few slings, you'll see it start to creep out of the shaft. Be careful when it starts coming out because it and come out with some authority when it does and could hurt someone or puncture something. This is called the "jackhammer" method and I've used it many, many times with all types of glues. I've never had this not work.