I know the area quite well but never been to Mallorca that early in the year. By all accounts, it is wet, windy and miserable, and snow is likely, esp on the hills, which are the best part of cycling on Majorca. Even by late Feb (the earliest I’ve ever been), Alcudia is pretty dead. If the road to the monastery is open then the cafe at the top probably will be. Otherwise, cafes and bars frequented by locals will be open but a lot won’t open until the weather improves and the cycling hoardes arrive.