Your approach to this problem is very objectionable; you appear inclined to create trouble rather than generate a solution.
I am not saying this because the university is doing the 'right' thing – they aren't, but that's a separate question. You don't indicate any efforts to finding out the reasons for piracy within the university, or to raise the issue with your faculty/network administrators/general administration. Instead, you propose to directly report this to outside authorities. This is stirring trouble.
Nevertheless, since there is a real problem, an answer is in order:
(1) How the university got away with it is not a concern, because anything in that direction will be speculative, and impossible for you to verify.
(2) If the frequent crashing and data loss, or any other inaccuracy in calculation is strongly correlated to cracked software, that is a real concern. But be aware that poor upkeep, unauthorised use of USB drives, inadequate malware protection - especially if these are public computers - could cause similar issues. Presumably there is a network administrator, or some group of people responsible for maintenance and network security. Bring the issue to their notice, first informally and then formally. Don't imply that cracked OS is the concern, just highlight your problems. If you can document these problems, your case will be much stronger.
Let them take action, allow a reasonable time. See if you notice an improvement. If you do, the problem may not have been with cracked software.
On the other hand, if there is no improvement, consider informally escalating the issue, preferably through your adviser/student relations in charge/equivalent and simultaneously keeping the student body informed.
Frankly, the choice of software is university policy, you are not in a position to criticise it unless it demonstrably detracts from your work. A number of good answers to a similar question suggest that there may indeed be such demonstrable problems.
You must recognise that this is a large issue if it is widespread across the university. The larger the issue, the slower is the solution. Don't expect it to be instantly sorted out. If there is a genuine problem due to pirated software, it will affect many students, and you can feel glad about having initiated something that will positively impact many.