After November 30, you'll enter into a history driven only events, so you won't have a real chance to do anything else, other than to save between each day.
You should try to Max your party's Social Links, it will give you the necessary 5, plus, when you reach Max Level in any party member, their own Persona will evolve into a more powerful version.
Other than your party members, the easiest Social Links are Strenght, Sun, Death and Hanged Man.
The hardest to do without an extremely well thought calendar are the Justice, Hierophant, Moon, Tower and Devil.
Current PC Build
CPU - i7 8700K 3.7 GHz (4.7 GHz turbo) 6 cores OC'd to 5.2 GHz with Watercooling (Hydro Series H110i) | MB - Gigabyte Z370 HD3P ATX | Gigabyte GTX 1080ti Gaming OC BLACK 11G (1657 MHz Boost Core / 11010 MHz Memory) | RAM - Corsair DIMM 32GB DDR4, 2400 MHz | PSU - Corsair CX650M (80+ Bronze) 650W | Audio - Asus Essence STX II 7.1 | Monitor - Samsung U28E590D 4K UHD, Freesync, 1 ms, 60 Hz, 28"
