In your opinion but the letters after the year are AD. So whatever you view it does not make you right.
Besides Epoch time which is probably on your computer is counted as the year turns from Dec to Jan. It counts in seconds from midnight 1/1/1970 - and that's the Gregorian Calendar.
Why is it 5782 in in Israel? It is telling you how long ago they think it is since Adam was created. Also, they are on the lunar calendar, which is why the Gregorian date of the Passover changes every year. Gregorian is a solar calendar, but Nisan 14 when Jesus died is a month and day from the Jewish lunar calendar.