About 12 minutes in, there's a poster behind Karen that advertises a fight between Parker and Morales. Peter Parker and Miles Morales both go by the alias Spider-Man who, in the comics, is a close ally of Daredevil.
Matt Murdock and Agent Nadeem are transported to the courthouse in a "5 Senses Communication" van. Matt Murdock has lost one of his 5 senses (sight) and gets his power from the remaining 4 senses being heightened.
When Karen leaves from the courthouse, she is on the steps of 60 Centre Street in Manhattan. These steps are frequently shown in films and television as the entrance to the NY criminal courthouse, however it is not where criminal cases are actually heard. The primary criminal courthouse is actually at 100 Centre Street, with some additional criminal court parts in 80 Centre and 111 Centre as well.