Text: while the permission request is understandable, since it needs to work on sites you visit to prevent those sites from being annoying.

Correct capitalization: While the permission request is understandable, since it needs to work on sites you visit to prevent those sites from being annoying.

Text: we're sure that he'll bring new ideas and insight while using the android platform so be sure to check out his hands on video!

Correct capitalization: We're sure that he'll bring new ideas and insight while using the Android platform so be sure to check out his hands on video!

Text: one leader prior to caesar arose that gained the power to make such reforms.

Correct capitalization: One leader prior to Caesar arose that gained the power to make such reforms.

Text: a couple of years earlier karl 11th had become of age. so far he had only cared a little about state matters, but now, because of the imminent danger, he became a grown up, ignored the council totally and undertook the governing himself.

Correct capitalization:
A couple of years earlier Karl 11th had become of age. So far he had only cared a little about state matters, but now, because of the imminent danger, he became a grown up, ignored the Council totally and undertook the governing himself.