That came out pretty well, all things considered. You really need a press or at least clamps and cauls for that kind of job. You were right not to try to hammer it I think but it looks like the repairs were successful and all is well.
This is exactly the place where hot cauls shine. Any time I get a poor glue up because of cooling glue or any other reason, I pop it back in the press with hot a hot caul and it comes out perfect.
BTW, it’s called a compass rose. :-)

The early bird gets the worm but its the second mouse that gets the cheese.