I assumed the Chicago police were very corrupt like most of the rest of the Solly capital institutions.
I would also expect that most core world police would be fairly well trained and efficient as most of them are stable states with all that entails.
As for faked biometric data and immigration this is a classic big numbers problem. Yes you can get hair/dna/biometrics etc but you then have to compare it to a database of hundreds of BILLIONS of entry. It is clear that this is a processing issue for Honorverse computers which seem to be significantly less capable than those Abby uses in NCIS. NCIS also shows the very real problem of multiple overlapping jurisictions and databases that need to be searched in parallel only the Solarian League is hundreds of times bigger than those of just the US.
Edit
Despite what you see on TV all these techniques (FP, biometrics, facial rec etc) are in reality used for identity CONFORMATION where you aready have a suspect who you know somthing about and want to confirm they are who you think they are. What none of these systems are any good at it identity discovery.
The reason for this is the false positive problem
https://en.wikipedia.org/wiki/False_positive_paradoxlets take the sol example with some made up numbers just to demonstrate.
Let the chance for a flase positive detection that random passenger is bad guy X be 0.001% (much better than current tech allows)
Lets assume that there is a total influx of 10,000,000 total people each year into Sol for all reasons.
10,000,000 x 0.001 = 100 people detained at customs because the system things they are bad guy X.
Let us further assume that there are 10,000 really bad dudes on the Sol authorities watch lists and that every year 100 of them try to sneek into Sol.
We flag all 100 really bad dudes and also flag 1,000,000 potential bad dudes, this is 10% of the total passengers inbound and remember this is with a system far more accurate than our current tech.
All these numbers are just for demonstration but it shows the problems that using these system for establishing identity rather well
*fixed a decimal place error*