purging air from colling system on 93 civic

First,I'm new here so thanks for reading this. My sister paid a guy tp
put on a timing belt and water pump on her 93 civic 1.6.I was unable to
do so beings i was outa town at the time.
After they had finished the car idled up and down as many described
other on here doing.They said it was a bent valve,I didnt agree!.Cold
wether came and one morning she said it got hot and there was ice in
the radiator."you get what u pay for" they didnt not make the
water/antifreeze mixture right.so for christmas i buy a new HEAD new
THERMOSTAT new HEADGASKET SET,and BOLTS. a pack of smokes and go to
town. Now HERE IS MY PROBLEM. cANT GET THE AIR TO BLEED OUT OF THE
COOLING SYSTEM.I have read and done everything i cand find on here to
purge it.But one thing differant is my fan wont come on. it gets hot
enought to blow steam out the overflow tube,with just very little
coolant.All i get is steam coming from the bleeder valve. I run the car
up into the red on the gauge,and shut it down .Car was taking coolant
everytime i checked it but now i cant get no more to go in.Gauge goes
red but no fan,fan did work prior to water freeze.

 

couple things:

1. did you install the thermostat backwards? easy to do, could cause
weirdness like this.

2. is the water pump working? what kinda shape was it in?

 

When the car starts to overheat, is the lower rad hose warm? Is the rad
cold?

I suspect you've got a bum (or aftermarket) thermostat. Either that or
there's crud in the thermostat housing preventing the thermostat from
operating correctly.

Replace the thermostat with OEM.