I don't see what should connect to the connector located next to the passenger side hinge.

The deck lid has the matching plug for that connector.

Duh! I haven't put the deck lid back on. Thanks!

I have also a question about a wire

I have this Red/White wire (near the ECM) and there is a extra wire (not original).
I can't find this wire in the manual?

Who can tell me what cable this is?

The Red and Red/White wires are power wires feeding to the fuse box and headlights. They are not fused. The Purple wire attached to it is thus also unfused and is a fire hazard. If nothing else there should be a fuse holder installed immediately after the wire leaves the larger wire.

[This message has been edited by phonedawgz (edited 08-26-2014).]

The red/white wire feeds power to the headlight circuit and IS protected by fusible link B at the battery junction terminal.
The fusible link will not protect the small purple wire in the event of a short in that wire, it should be protected with a small (5-10A) fuse, depending on what it is feeding and the actual gage of the wire.

Thanks,

that is clear!
yes there is a small fuse at the end of the purple wire.