The identification of the body won't be a problem, because his wife and son were in the car with him and survived. But they need some additional confirmation. It isn't unknown for a wife to lie in identifying a body. Unlikely, yes. But if he has a dentist, the dentist emails the x-rays to the ME and the delay in negligible. And the way I have it written right now, he was hit by an 18-wheeler (although who knows how it went down off-screen?). But it hadn't occurred to me they might want an autopsy. About how long might that take, if identification wasn't an issue? It depends in large part where this is. A big city with a morgue that's backed up is going to take longer than a smaller city. And one thing I don't know about Jewish customs is what the position is on body organs. Some religions insist on the entire body being buried, while others allow organs to be removed, tested, and disposed of later.
The trucking company is hoping he died of a stroke or heart attack (it does happen) while the family is hoping for blunt force trauma or fire. This is literally worth hundreds of thousands of dollars in the judgment that's going to come down in a few years. Autopsy that has to explore the brain and heart in detail is going to take a while and that's why the question is whether they need to be buried with the body arises. (My guess is that they do.)
Let's say the accident occurs on Monday. Normal Jewish funeral would aim for Tuesday or Wednesday. But with an autopsy, it gets complicated. In theory, it's possible for the autopsy to occur on Tuesday and the funeral on Wednesday. My guess, however, is that the main autopsy would occur on Tuesday, with the organs taking an addition day. A busier ME, however, might be completely booked through Tuesday, and even into Wednesday with stuff that can't be moved. In which case the funeral won't be until Thursday or Friday.
Personally, in this example, I'd put it on Thursday. Then I'd have someone muttering about the delay in the autopsy, but supposing it needed to be done. Makes you look like you know what you're talking about. You could throw in desecrating the body and the lawsuit into the conversation.