According to http://www.techlore.com/article/10974/JVC-Camcorder-Stuck-in-Safe-Mode/
"JVC notes that you are also given a malfunction code when the unit is placed into safeguard. If it displays code 01, 02, or 06 you should remove
the battery and powersupply and wait for a while. Code 03 and 04 indicate that you should eject and reinsert the tape.
If neither of these solutions work, your only alternative is to bring it to a shop or send it to JVC for diagnosis or repair. Unfortunately, there is no other way to clear the condition."
If you are getting E03 or E04 errors on every tape you try, it sounds like a servicing is required.