[Urlik]

he had spent on his private school principal’s office

should be;
he had spent in his private school principal’s office

He even looked like Aristotle itself

should be;
He even looked like Aristotle himself

It made Baker to feel as if the man himself was a King

should not have the "to"
It made Baker feel as if the man himself was a King

and the man next on his right was his executioner

the "next" is unnessecerry
and the man on his right was his executioner

it didn’t explain his interest on the gene-manipulation,

should be;
it didn’t explain his interest in the gene-manipulation,

but then again the time was year 1980,

would read better as
but then again the year was 1980,

by using methods that had to come from the future.

it would read better without the "by"
using methods that had to come from the future.

His grasping voice made Baker to shiver

I think you meant rasping voice and you don't need that "to"
His rasping voice made Baker shiver

and think how he could escape from the situation that he was in,

I think it would read better if the sentence was shortened;
and think how he could escape from this situation,

"I rather stand, if you don’t mind…”

should be;
"I'd rather stand, if you don’t mind…”

Baker took off his glasses to swipe steam off from them, as he started to tell his story.

would read better as;
Baker took off his glasses and started to clean them, as he started to tell his story.

according the plan until there was a accident that made the CORE device act weirdly.

the "a" should be an "an", and it might sound more realistic if he said behave unpredictably instead of act weirdly
according the plan until there was an accident which made the CORE device behave unpredictably.