yes just to pull it out and tell me what is wrong....
Sharon they are quoting you the labor to remove and replace the cylinder head
if they remove the head ( which is more then likely warped and will need a new head gasket ) and you repair it with them they will not charge you the labor for the head gasket and the 670
the 670 is the labor to remove the head
they will not double charge you at all
shops will quote the labor for the head gasket or 1/2 the head gasket labor time to remove the head then if you say to fix it they charge you the other half
if you say no they get paid 1/2 the labor which is removing and inspecting the cylinder head
the 670 is just to remove and look they said then will be extra charges to repair the head gasket or replace the motor. i phoned and asked them so i think its too expensive just to tell me what is wrong.
ok if there is no compression it more than likely got hot enough o damage the head gasket and possibly the head
if your feeling you should go to another shop I agree
something is wrong with this shop if you think already they are not being fair with prices
its better to take the car to another shop
and if you feel that way get the car out before they take it apart
get it to another shop and ask for a quote for a complete used engine and a quote for fixing your engine in the car now
if the cost to just tear down your engine now is that high and you can get a used engine for that cheap it makes sense to put the used engine in this car v/s fixing the old one