Turns out my laptop battery was swollen for at least a year
Il Mio Problema
Battery life from 100% to 0% was 15min. Also, the trackpad was displaced by the swelling battery and it stopped working.
La Mia Riparazione
Battery and Trackpad replacements were easy enough.
Il Mio Consiglio
Take your time. Watch a video if you're unsure about a particular step