"At light speed time stands still for the mover, and beyond light speed goes into reverse."

There is the impossibility. What happens is that time simply ceases to be in our reality. Time cannot work in reverse. The logic we use to measure time no longer applies.

"Light speed requires infinite energy, because mass increases with speed and becomes infinite at light speed."

That is a confusion caused by the term mass. It's based on E=mc2. However, we can see it 'fall apart' when we set the value
of c as 1. It is similar to the conundrum, "I've found a universal solvent but I can't find anything to keep it in."