Two thoughts.
First, my read on Goodell is this. He is an attorney and responded to the charge against the Patriots as a judge would. He has never stated he would pull a Congress and look into any or every historical claim (claims, by the way, which are very hard to prove as the evidence tends to be witness statements rather than hard video evidence), he addressed the charged illegal videotaping violation and nothing more. His statements about reserving the right to increase the punishment is also judge-like: if you perjure yourself in a proceeding or produce false evidence, a court holds you in contempt and adds punishment.
Second, any claims of further investigation do not fit the first proposition. Goodell wanted a deterrent for all teams, not just the Patriots. He repeatedly said that. He also wants this issue put to bed. As such, he would want all claims arising out of a single incident raised together and addressed through a single punishment. That serves the deterrent value and puts an end to a situation that is potentially damaging to the league's reputation rather than allowing the scenario to extend further into the season.
Any claims, such as those raised last night of a second Jets complaint on audio tape from the same game, would seem unlikely. That tape would be solid evidence just like video tape, and Goodell indicated last night he decided the case quickly because of the hard evidence and he wanted the statement made. If the Jets filed a second complaint after the matter was decided, the complaint would appear to be dissatisfaction with the punishment and an attempt to force Goodell's hand to hand out additional punishment. I suspect that would not be well received.