I think we've already covered that.
The police report is likely to be inadmissable as "evidence" but can be used to impeach a witness or remind a witness of what was said at the scene.
Like "Mr driver, didn't you tell the police officer you ran the red light?" "No?" "Then how do you explain that the officer wrote in his report that you said that?"
Or "Officer, what did the driver tell you during your investigation of the accident?" "He said he ran the red lite."
You get the idea.
But you'll have to have the police officer and witnesses personally testify in court in order for the police report to do any good.
The doctor's report is a contemporaneous factual report of diagnosis and treatment and is likely to be admissable as evidence.
As for the auto insurance lawyer objecting, he can object to anything and state his grounds for objecting. Then you get to say why his objection should be overruled and the judge makes a decision.