When i charged the new battery the first time, my macbook pro mid 2012 switched itself on during charge every 2 Hours or maybe 3;

i reset the smc then it was normal again

For the Tri point 3 wings or however you call them. the proper Screwdriver is really to rcommend; I manageds it with a normal flat but very small screw- driver but it slightly "damages" the screws;(a four winged screwdriver does not grip enough);

So i recommend to buy the whole package with instruments; (i had all other instruments accept the Tripoint)

the screws themselves seem to be fragile

For putting them in again its better to start with longer one but dont fasten it tight keepit loose until the short one grips.. the tighten them but not too fast.