Spoofed Caller ID

Can law enforcement somehow trace spoofed caller id with spoof card or something like that? Answer will probably be yes, so do you know some other way to spoof caller id without being traced?

And also if I buy new SIM card and a burn phone, can then my carrier trace my location after the call if phone is turned off? And could they trace me if phone was tuned on but without SIM card that was used?