Noise coming from slop sink
The "glunk-glunk" is air being pushed or pulled around the water in the trap. Often this indicates a blocked vent pipe. In your situation the upstream plumbing or even the main stack may have been considered a wet vent and be perfectly fine. With the clog at the main near the street, the air pressure inside the pipes is building up from water draining above, and the easiest escape is the sink trap. If possible, I'd still check the pipes to see if there's a vent that should have relieved this pressure, it may need to be cleared from the roof.