Hi my friends and I will be travelling Taipei 2nd week of February for 5 days.

Oh, based on the previous statistics, the possibility of snow would be small. You can arrange the route in the following way:
Day 1: Astronomical Museum & National Taiwan Science Education Center
Day 2: Taipei Palace Museum & 1914 Cultural and Creative Industries Park
Day 3: National Taiwan University & Miramar Ferris Wheel
Day 4: Taipei Zoo & Maokong Gondola
Day 5: Chiang Kai-shek Memorial Hall & Da-An Forest Park