Unless the enemy Barik is using the Fortify Legendary card, his Barricade only has 5000 Health. It can sometimes be more advantageous to simply destroy the Barricade instead of sidestepping it.
The easiest way to play bk is to sit in the back-line and throw bombs. If you want a challenge try using the poppy bomb to launch you across to the other side of the enemy and wreck! Don't stand in one spot always be moving!
Inara's ultimate has a long windup time so before using it make sure to be in a safe spot with enough health to survive bombardmemt. It has an obvious voice line letting the enemies know to focus you so using damage reduction first can help.
If the enemy Inara is using the Tremors legendary then focusing on destroying her walls when she creates them will significantly decrease its effectiveness. Use the anti deployables item and not anti shield since she deploys a wall not a shield.