Herakles, Rudra and the centaurs: PIE source?

Rudra followed the stellar deer (i.e. Prajapati, who in the guise of a deer
followed his daughter, but Shiva cut off his head which became the
constellation called Mrigashira i.e. the deer-head). There's variations of this
legend with Brahma replacing Prajapati, and this can be trace back to Varuna or
Dyaus. The father tried to violate his own daughter, the goddess Samdhya
"Twilight", who fled changed into a doe.

There are many parallels to moments of Herakles' career, specially linked to
centaurs:

1. The centaur Nessos tried to violate his wife Dejaneira and was killed by the
heroic archer.
2. Kheiron was son of horse-disguised Kronos and Philyra. Kheiron was killed
accidentally by the poison of Herakles' arrows. Kheiron became a constellation.
3. Herakles hunted the gold-antlered Ceryneian hind.
4. Herakles became killed by the poisoned cloth that Nessos gave to his wife.

Should all these myths be reflex of a PIE source of myths about Varuna as
violator and being castrated or shot by magic arrows? Or the Allfather *Dyeus ?

5. Can we add to this list the myth of Apollon and Python? Artemis and Orion?
Artemis and Aktaion? Could Kheiron be a ambrosia-keeper as the Persian Gandar&ba
?

JS Lopes