A quick Google search suggests the flight [in 1980, the word "cockpit" was used as people weren't vocal about being offended by it] voice recorder would be analog (just like an old fashioned cassette recorder?) so would be readable very easily but probably need some processing to overcome damaged sections. Exposure to UV for extended periods of time could cause serious deterioration, so reading it ASAP is probably sensible.
The flight data recorder could be more difficult but if there is a model number, more technical data would be available, again via friendly Google.
The issue with a non-official person reading is that any results are not "official" findings, so don't get official flight crash investigation status. However, since none of the official authorities in either country are interested, that's probably not important.
The only thing people should be concerned with would be if there are any criminal sanctions available if authorities get pissed off at being shown up for their lack of interest/incompetence/failing of some sort. It's standard in the US for authorities to strike back and shoot the messenger (sadly, literally in some cases).
Perhaps a low profile recovery and gentle leak of the information would be safer for those involved (e.g. tell the family members who are interested, like Judith Kelly). The internet will take care of the subsequent publication.
People are offended by "cockpit"? I've never heard of that. It only takes a few seconds to look up the etymology, which comes from coxswain -- the person in charge of steering a boat.
Assuming that they have the CVR tape, that would preclude any official investigation and piss off anyone who might be inclined to help if they managed to scramble through official channels.
Further, the CVR tape might not be spectacularly useful for a controlled flight into terrain accident in instrument conditions. There is a fair chance that the first problem the cockpit crew encountered was the impact.
On the other hand, it might show navigation equipment failures-say those VOR transmitters-and traffic control communication problems.
