You mentioned you're broke..Rebuilding it will be the cheapest thing you can do and don't even THINK about any JZ swap if you're broke. Chances are the swap would cost more than you paid for your car. I wouldn't even think about a 1jz swap.
Yea sure you may be able to find a 1jz engine on eBay for 1g but by the time you buy all the shit you need to put it in a make it work right..you'll have spent WAY more than you paid for the engine...Remember it's still a junkyard motor..Even if it comes with the ecu and ignitor..you'll still have to fix the cut up wiring harness and then it will have to be extended. Then you need engine mounts, r154 transmission and 1jz bell housing(about $350 by itself), new drive shaft, intercooler and piping, intake pipe, downpipe to connect to your exhaust(assuming the one on it is cut). Then you have to get all the maintenance things like new timing belt and tensioner, and a bunch of other seals and gaskets(front and rear, cam, etc..) I'm sure there are a lot of other things I missed.
There's not a chance in hell a 1jz swap will cost you only $1200 with it in the car and running properly.
Take your motor out and take it all to a machine shop. They'll tell you if the crank needs to be ground and if you need over sized bearings. Then look around for a rebuild kit with the proper sized stuffs. It'll probably still be about $2k cheaper than a swap.
Just my .02