You cant IM with an insulin syringe. You’ll just cause problems. That oil needs to get into the muscle fibers and creates a pocket until it is absorbed. Can’t do that with a insulin syringe.
A nurse will likely want to do it in your glutes. Delt shots can be tricky to push the plunger in by yourself and if you dont have a lot of muscle mass (which seems to be the case based on your body weight) you cant inject alot of oil there.
500mg/ week can be alot, it will definitely shut down your natural production. Do you have an anti estrogen availalbe? Do you have a PCT plan?