I Broke My Right Collarbone (clavicle) About 3 Months Ago

I broke my right collarbone (clavicle) about 3 months ago playing rugby. It was broke into 2 parts and over lapping 1.5cm. Surgery was briefly considered however the distance between the 2 bones had to over 2cm. I wore a sling for 5-6 weeks. I began doing gentle exercise 4 weeks ago(2 months after the injury) such as PE lessons and running, but still can't pick up heavy(ish) things or carry a backpack for to long because I can feel the bone it self aching. Bearing in mind the first doctor I saw said in 3 months I could be back on the rugby pitch. I know now realistically this isn't possible. Is it aching because the bone hasn't properly healed? Should I stay away from sport for a longer period of time? Will I be able to lift weights in the future because I am planning on joining the army, and when would it be safe to be able to play rugby again? Any help or advise would be appreciated.

Ps: I've been looking on the Internet about other people with the same injury and many only had a sling for 2-4 weeks and after a month or 2 have gone back to normal. Is this because mine is a over lapping brake and haven't had surgery?
Thanks