Just to give you a quick head's up, there's a Boards policy of no "Naming and Shaming." Basically, you might want to go in and edit those pictures to block out the names.
As to your question, yes, the pre- and post-game lobby chat is recorded by the system and can be reviewed at any time. All you need to do is write something down in the additional comments field of the report screen along the lines of "see post game lobby chat" and that should be enough to let them know.
Also, even if all 4 of them report you for something, if you didn't do it, it won't matter. The system will throw out any false reports, even if it's from 4 people. If they tried to report you for hate speech, and you didn't use any, then you have nothing to worry about. Another thing, mass reports from premade groups do not carry the same weight as if you were reported by un-grouped random strangers. The system is weighted in a way that prevents premades from being able to gang up on others.