Don't worry, it's not the actual tattoo that is pink, or inflamed, as you described, it's the flesh around the work site. That's normal. The entire area was traumatized by the repeated needling/inking. The tattoo will be raised for a day or two as the surrounding flesh settles down. Keep the ointment on it. That will help it heal cleanly. It will also prevent the scab from itching overmuch. When you see flakes of colour coming off, don't pick at them. It's just the outer layer of dermis. The ink went down 5 layers or so. If you pick at it, you could pick all the way down, not only removing colour, but leaving a scar in the middle that cannot be recoloured.
Don't worry about the pink.
How can we sleep while our beds are burning???