Serious crime spiked again last year to levels unseen in nearly two decades, according to internal NYPD data obtained by The Post — even as Mayor Eric Adams has repeatedly claimed that the city’s rampant unlawfulness is just a “perception problem.” For the second year in a row under Adams overall crime was on the rise — driven by a historic surge in assaults, which neared 28,000 for the first time in the city’s publicly recorded history, according to the police department’s rolling report. The report tracks the tally of seven major felony offenses after the time of arrest to...