Well, OBEX = Generic Object Exchange... its the profiles that make use of Bluetooth Object Exchange that are important to many.. File Transfer profile (FTP), Object Push profile (OPP), and Sync profile... All parts of BT OBEX... but BT OBEX FTP is what is what MOST in the forums refer to when saying just "OBEX"... As for what each of these profiles are, rather than to try and explain it, I'll point you to -> http://en.wikipedia.

No. Application JAR should be nowadays installed via OTA by visiting GPS/J WAP site with the mobile browser. Download to the PC will be available soon.

YES. Flash your phone at home to the LEAKED .04P firmware available from http://www.humpa.com/vzw or http://ryfiles.com/flash.

NO. The Verizon firmware does NOT support this. And while you can flash to a V3C firmware, doing so will disable/remove support for the Transflash slot, VCast Music, Verizon Music player, MTP Mode Sync with Windows Media Player... In other words, flash your V3M with V3C firmware, and you've turned your V3M hardware into a V3C phone... UPDATE: (12/9/06) a Verizon V3M Monster Flash HAS BEEN LEAKED!!! So you can revert back to the Stock "out of the box" Verizon firmware. NO.

See this post -> POST #7 or this old thread that tries to explain this... see -> Verizon V3C Info: Firmware vs BT OBEX and MPT!!