Did the initial point of big bang have infinite temperature and infinite density: thus infinite energy?

>> ... initial point of big bang ...
It's not at all clear that the "big bang" ever had an initial point. Our understanding of the physics goes back only to AFTER the first fraction of a second. By that time, many billions of things had already happened, and the visible universe (that part that is now visible to us) had already expanded to at least several billion Planck lengths.

We have math equations that fit the data we have, and when we try to take them back to time "zero", we do get a point size for the universe. But that doesn't mean that the equations are correct for the time before we understand the physics. Maybe we need some new physics, such as string theory or m-branes, ... something that shows up only in the very early universe.

The problem with string theory or m-branes, is that we have some of the equations, but none of the physical data.

nonsense!
there was no infinity.
just a high value.

There is no initial point : instant 'Zero'. The initial second is divided into a thousand milliseconds each accounting for an episode; every millisecond further divided into a thousand microsecond each again accounting for event and so on. Where to start?