There were quite a few 'tick' sounds between cuts, where the sound didm;t exactly match up. To make these go away and therefore make the cuts flow smoother I used the 'Quick Transition' tool.

The Quick Transition Symbol

This brings up a menu which allows you to select what transition you want and change the duration that the transition lasts for over both clips. I chose dissolve in order to blend the sounds from both clips together to make a smooth transition. To make sure the transition didn't apply to the video tracks as well, I disasbled V1 and V2, allowing only A1 and A2 to be effected. 

I used this on a lot of the cuts, varying the duration on each. This was the result as seen from the timeline. 

Audio tracks on timeline

To apply different effects and change the levels so that none went above -12dB, I went into the Audio Mixer by going Tools > Audio Mixer. 

To add an effect I right clicked in the black spaces and then went to Audio Track Effects. I played around with this on the different tracks to try and get the right sound.