House built in 05, textured over most of writing, I can make out UL stamp, Bowers, but not if fan rated, looks like posts instead of ears, but is plastic

Greetings! I'd appreciate some help resolving the wiring issue described below. Thank you. [b]Situation: [/b]Hallway has two parallel ceiling lights controlled by one 4-way switch and two 3-way switches. One light box (referred to as Light Box #2 from this point) contains two 4-wire cables and one 2-wire cable. Unable to determine proper wire connections for ceiling light fixture. [b]Switches:[/b] one 4-way switch and two 3-way switches * 3-Way Switch #1 (by front door) – common wire is black, while traveler wires are red and white; appears to be closest to power source (breaker box in garage) * 4-Way Switch (hallway) – common wires are red and white, while traveler wires are red and black * 3-Way Switch #2 (by garage door) – common wire is black, while traveler wires are red and white [b]Light Box #2: [/b]contains three cables: two 4-wire and one 2-wire * 2-Wire Cable – one black and one white wire; appears to run from Light Box #1 and serves as power source * 4-Wire Cable #1 – one black, one white, one red and one ground wire; appears to come from either 4-way switch or 3-Way Switch #1 (by front door) * 4-Wire Cable #2 – one black, one white, one red and one ground wire; appears to come from 3-Way Switch #2 (by garage door). [b][i]1 - Hallway Lights & Switches[/i][/b] [b][i]2 - Light Box #2 (exterior)[/i][/b] [b][i]3 - Light Box #2 (interior)[/i][/b] [b][i]3-Way Switch #1 (front door) [/i][/b] [i][b]4-Way Switch (hallway)[/b][/i] [b][i]3-Way Switch #2 (garage) [/i][/b]