Hi Chris,
the drive out to Formentor lighthouse from Puerto Pollensa is beautiful with plenty of photo oportunities.
Cheers, John
Why are you trying to kill him?
Those mountain roads are the last place you should find yourself in winter. Landslips are commonplace; some roads on the island are still closed from such events earlier in the autumn; it's the rain and lack of money to spend on maintenance.
Frankly, winter in Mallorca - unless you stay in Palma and are really old (or very rich) - is a lost time. Most of the places elsewhere close and stay that way until easter. Your chances of finding somewhere open for lunch outwith the towns is very low during winter.
On the positive side, there is the annual almond blossom thing that takes place in late January or early February, depending on the weather we get, when the trees swell into snow clouds; quite pretty, but the end of the year is a bit too early. The best place I've been to for that is up in the mountains at Fornalutx: the valley explodes with white or pink - looks exactly like snow or heavy frost.
If you are staying with relatives, then ask their advice when you are here, but if it rains you will understand how the 'exotic' in country architecture soon turns into the 'shabby' of rural winter reality and even worse in the city. Bring heavy clothes too; it can be swimwear at lunchtime and the logs burning at night when there's no cloud cover to keep the heat in.
Also, be warned that if you want to go out to see in New Year at a restaurant, you will generally pay through the nose for a lot of poor food. But, if you come with a companion and she's nice, then it can be wonderful, too. Romantic places are often a product of what you bring to them.
Rob C