Now that most of the tape is removed, you may not have any other choice but to remove the baseboards (paint the wall while they are off) and then repaint the trim once you've scraped off the tape.

Even painter's tape (especially the no-name brands) will stick/damage floors/wall paint. Leaving it more than a day or two is considered "too long" for most of these tapes. I've had cork/hardwood floors ruined because painters tape was left for almost a week. The tape ripped off part of the finish leaving behind exposed raw cork/wood underneath.