You said your rear looks like the 2nd one which is a track hub (2 sets of threads).
If it has only 1 set of threads then you can't use a lockring and therefore can only ride a bodged fixed.
I don't like recommending suicide hub setups so I'm not going to.
Just get yourself a freewheel, two brakes and ride ss until you can buy/build a proper fixed rear wheel.
You said your rear looks like the 2nd one which is a track hub (2 sets of threads).
If it has only 1 set of threads then you can't use a lockring and therefore can only ride a bodged fixed.
I don't like recommending suicide hub setups so I'm not going to.
Just get yourself a freewheel, two brakes and ride ss until you can buy/build a proper fixed rear wheel.