As AuntyBJ says: There is a Police Citizens Youth Club at Lawnton, where 100's of people play rugby league football, soccer, netball, cricket etc, as well as that you can use the gym there and all kinds of indoor games like badminton. There is also indoor climbing equipment and high tree climbing equipment there. The local aquatic centre offers al kinds of training: squad training, learn to swim classes, toddlers classes as well as Swim Fit, water aerobics etc. It's best to enquire at the PCYC and LAC to see what else is available. There is also a very active scout group in Lawnton. Hope this helps.
I don't have kids so I'm not 100% but I know for sure there is a PCYC on the boarder of Kawnton and Bray Park there are some sports ovals there rugby or rugby league and netball. There is soccer close by to but that is also in Bray Park I think. Lawnton has a swimming pool and a gymnastics Center as well. Hope that helps.