Is it normal to feel the urges to self-harm after you've stopped for months?

Yes it is normal to feel the urges even years after when you're under a lot of stress. I'm proud of you for making it this far though and as long as you keep fighting those urges then you can look forward to many more seconds to come. It can be rather exhausting to fight these urges but they do become less frequent and become lighter as you pass time. If you do relapse it is a part of recovery. Remember that you're strong and you can do it. There is always light at the end of the tunnel.