hi, i am new here, am a proud owner of an Estrella and can't seem to find what this part is, it goes to where i am pointing to with my finger.

Î may be wrong!!!!!!!
Know only little about mechanic parts...

But it seems to be the carburretot heating?
It's a 1996 B" or 1997+ C1?

That's correct. You can forget it, unless you ride a lot in the Wintertime.

its a 2005 bj250 ... a i think

Throw it away - or keep it and forget it.

where can i find a service manual for 2004 bj250ae(checked the bikes papers :))?

It‘s a part of the carburator heatingp