Please check for an errors and correct them for me.

As you know two miners was injured last Tuesday in the rock fall in entrance eight near the face. One of the miners is still in the hospital. I understand that he will be released in two or three days.
According to our initial investigation our safety inspections were not overdue. We are continue to investigate the cause of the accident and will apprise you of the findings as soon as the investigation is complete.

Rennell, Angie, Brown, or whoever --

Quit changing names. It serves no purpose.

Commas are needed after introductory clauses/phrases.

"We are continue..." <~~??

Ok lol.

As you know,
According to our initial investigation,

Correct comma placements.

How did you correct that verb form?

continue to continuing

was to were

Here is the corrected version:

As you know, two miners were injured last Tuesday in a rockfall at entrance eight near the face. One of the miners is still in the hospital. I understand that he will be released in two or three days.

According to our initial investigation, our safety inspections were not overdue. We are continuing to investigate the cause of the accident and will apprise you of the findings as soon as the investigation is complete.