On the Assassination Wall you start with the Sequence 5 after Assassinating John Elliotson, Starrick was well informed with Jacob's and Evie's Progress. Now Starrick has bought an omnibus Company to control the neighborhood workers and keep them under his thumb, but in this business he has a competitor named Pearl Attaway. Jacob then plans to contact Starrick's competitor and get along to bring him down.
As you begin with the first part of Sequence 5: Friendly Competition, you meet Pearl Attaway where she assumes that you came to Assassinate her and she try to bribe you, instead you take a proposition for a partnership for her business. You agree to take the Assassination contracts from her in order to bring Starrick's business down.
So to gain her trust you need to prove her by destroying Miller's storage yard, but first you need to save Ms. Attaway from Miller's employee. You need to kill the employee and also have a Side objective to Save Ms. Attaway's Omnibus driver from his pursuer.
Once you are at the Storage Yard, Recruit few Rooks and enter the yard. After you've taken down all the enemies, now you need to push the cart full of explosives to park it with all the Omnibuses and then ignite the explosives.
Let the Storage yard Bun into ashes and gain all the trust of Ms. Attaway. She is happy with your working style so she will agree to trust you and in return gives you the next Assassination contract. This Ends the part 1 of Sequence 5: Friendly Competition.