Ok, Tomas, you want Logic? - YOU CAN'T HANDLE THE LOGIC!!!
Let me start:
the first parts are obviously the character indtroductions...
from the Locke's part we know, that this "Looker" (who might not even be the Looker we know), already investigated against him and that he is a criminal - but due to that trial he goes free - and this "Looker" has some personal 'vendetta' (if you say so) against him.
Newton is just his new right-hand man and most-likely body-guard with no criminal history - since Newton is a local (he was a bouncer in Elysia City before), Locke might have hired him also as a guide, since Locke also seems to be relativeley new to Graterras (see -> "Lookers" previous investigation).
Brigit Q - the Hitwoman... she might even be somewhat related to "Pokemonhunter J" from the Anime? - just speculating because of those unusual single letters... (where X normally is a synonym for anonimity - like Madame X)
She is the sole reason for this investigation, since Locke hasn't done anything bad yet - but she is a top criminal... but why would Locke go so far as to hire/work with a KILLER?
the mentioned rumors involving this big company, of course!
now, the only big Company we know is the Cook Company (like ICSW already stated).
the rumors say these three are involved with a fourth person, who is involved with the company and granted them access to their buildings, as they plan to take over the company from within!
Who is the leader and or founder of the Cook Company? - Catherines father and current (honorary-)Champion of the region!
so we can assume that Mr.Cook is NOT the 4th person... why would you try to take over the company when the Boss is already on your side?
but what can they do to take over the company? - well they have a KILLER! - they could assassinate Mr.Cook, or threaten him in any way - when we met him he said he had some business to attend to... that could mean that he already got threatened with some information from within the company...
also the company workers might get (forcebly) recruited by these 'fanatic four' to form an evil organization... TEAM CROOK!
(you now... Cook + R = Crook = criminal)
however, we don't know any kind of goals of this "unholy alliance" yet... but maybe it has something to do with the position of the Champion... more then often the Champion of a region holds some key or secret of the region safe, mostly something that ties to a legendary pokemon!
And let's be honest... all the evil organizations are after a certain Legendary Pokemon... so that would fit.
Mr.Cook and his company helped build up Graterras from almost nothing! - during these building periods, he stumbled upon the resting place of a very powerful Pokemon... to make sure no one wakes it up and unleashes it's fury upon the Region, he build the Pokemon League above it's lair to hide it...
for all his efforts, in building up the region, he was assigned the Champion title - which he DIDN'T actually want! (he talks about it, remember?)
Now he holds the key to this legendary Pokemon, and knows it's location... now the 'fanatic four' infiltrate his company to get as much information as possible, take over the company, take EVERYTHING from him (better watch out Catherine!!!), to get him to open that pokemons lair to them and allow them access to it's great destructive Power!
Newton is the informant - he is a local, he knows about Mr.Crooks company and his feats for the region, that's why he was hired by Locke... Brigit Q was hired for those threats...
that fourth member, who is already inside the company might even be a friend to Newton, and that's how they actually got access to it.
"Hey pal... there is something BIG, and we need your help... don't worry, you will get your fair share" - kind of deal.
Mr.Cook knew that sometimes, something might get leaked out about that legendary Pokemon and didn't want to hold responsibility, since he already has his company... and a big company is not necesserily the best place to hide secrets... that's why he didn't want to be champion - so he didn't have to worry about it... that's why asked the professor to get starter pokemon to the MC and his/her friends ASAP.
He wants someone who he can trust, to be Champion!
and since you are friend with his daughter... why shouldn't he trust you?
*Mic drop*
and yeah - now I highly expect a hostage situation involving BrigitQ holding Catherine hostage and battleing you and Mr.Cook(or Timothy) in a double battle, while she has only Level 100 Pokemons (including the local Pseudo/s) - which you are supposed to lose... or at least, are not meant to win... ... and after the battle "Looker" comes in and saves her... or HE is DUSGUISED as Catherine! (since THE Looker is a master of disguise)