1. Your signed 759 is verification enough of your military flight time. You do not have to transpose it to a civilian log book if you don't want to.
2. If your military time has been transposed to a logbook, some majors will still want to see a copy of your 759.
3. If you you did not log PC,SP,IP,IE,MP on the -12, do not put it down as anything other than SIC time in your civilian logbook. To the majors, PIC time is ONLY for when you signed for the aircraft and they do not count sole-manipulator or safety pilot time as PIC.
4. If you had checkride failures for anything, list them in your app (each airline is specific on if they want pilot training stage check failures or not). It will not stop you from getting a call and it won't stop you from getting hired ( 3 check ride failures {2mil, 1civ} and sitting at a major).
No military does not have PRIA but, given that some majors will want to see your military records, you would not want to show up to the interview and have them see it in your records.
Also, TRUE STORY, a guy I worked with got an interview at his dream job (DELTA) and did not get the job because he did not list a military check ride failure and the Captain who ended up interviewing him was the one who busted him on the ride (awkward!). This was an extremely unusual case but strange stuff happens and its a small world. Dudes have been removed from indoc classes for lying during interviews and false info on apps that was later found out.
5. United takes a snap shot of your app when you get the invite. Again, dudes have been uninvited because they "revised" their app after getting the invite to include negative information. The assumption is/will be made that you did not disclose the information in order to "improve" your app.