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A PSP 3002 is a PSP-3000 ('brite') for Australia and New Zealand. What it means is, the firmware is region locked to only allow Region 4 UMD movies to be played on it, though games from any region will work.
The number at the end is the PSP's region which can affect the movie UMDs you can play on it, and PSN availability. One marked as PSP-2000 is a Japanese model, PSP-2001 is the North American model.
Only the region they came from. This will determine what movies will play on it, as the movies are region locked (but the games are not). PSP-1000 is the general name for all PSP's of the 1000 series, as opposed to the 2000's and the 3000's. So a 1003, or a 1006, are all 'model 1000' PSPs from different regions. The region code will be printed on the bottom of the console. In this case, if the PSP has PSP-1000, then this is a Japanese PSP. If it has 1003, it is a United Kingdom PSP (Continental Europe has a different code, 1004).
PAL and NTSC usually refer to analogue television formats. Since the PSP has its own proprietary screen, PAL and NTSC in this case refers to the region the PSP comes from, which is important for the purposes of UMD movies and some online services. That means a US PSP can play a game from the UK, the video format is exactly the same. But UMD movies are region restricted so a US PSP can only play US UMD movies.
The number at the end is the region code. PSPs are region locked, but this applies to movies only, not games, a PSP from one region can play any region's games, but it may affect any online use. PSP-3000 is the general name for the 3000 series range, but '3000' specifically is the Japanese regional model, 3001 is North America.