<< If your grandfather made some animal sacrifices... which should be (re)performed by all the eldest sons... >>

who says "should be"? no.
Besides most hindus do nto/ did not perform anial sacrfices.

<< and some sons leave the traditions ...>>
oggd. it is better eace such tradition.

<< Is it possible to encounter problems that are family related and that pass on every generation..if they are not attended to? >>

not at all.

besides, one who surenders to krishna,
nas no ned to do any traditions othe than vaishnav tradition.

jai sri krishna! - madhav