2001 Honda civic overheating. Coolant level ok.

there are 2 fuses for the fan
also check the coolant temperature SENSOR ( not sender ) as that is what reports temperature to the ECM to get the fan turned on through a relay

the main problem would be your radiator fans don't turn on. This would cause pressure to build in your radiator causing coolant to flow over into the coolant reservoir. sometimes you might see coolant on the floor your temp gauge should also read much higher than normal. you can connect your fans directly to your battery and drive the vehicle and see if problem still exists. if not then thermo switch etc would need to be checked.

Damp passenger floor sounds like a heater core. What a pain in the a__. Most probably the dash has to come out to replace. That is the only thing I know of that circulates engine coolant into the passenger compartment.
If you confirm this and want to fix it on the cheap, you can put a crossover hose in the engine compartment and bypass the heater core entirely. This is a $5 fix that works perfectly, mechanically speaking. Unfortunately, you will have no heat. Of course, you may decide that is a better option once you hear a quote on getting the heater core replaced.
Oh yeah, get a new mechanic.

Who told you to replace the entire engine??? -An engine salesman? You should take advice with caution especially if the advisor stands to benefit. To fix overheating, try putting in a new thermostat. The new thermostat and gasket should cost you less than 20 bucks. Make sure your cooling fans cut on when the engine is warmed up. If not, then check the fuses and relays to the fans. Double check your coolant level. Your oil consumption is perfectly normal.

u may be having a thermostat that is stuck usually when that happens overheating comes along . . check your coolant level and oil level that can also cause overheating

Is your Civic air-conditioned (have two fans: radiator(on the left, facing the car) and condenser (on the right, facing the car)?
Does your radiator fan run at all, when the car gets hot?
Have you checked your radiator fan relay in your underhood fuse box (far upper left, facing the car, locations on cover)?
Have you investigated the thermostat?

Leave a comment in answer and I will try to help you

it looks like that you cooling fan is not working, check the fan when temperature is up if its not working than check the fuse for the cooling fan, if its ok than check the current at the fan end if you fund the current the fan is faulty replace the cooling fan.

check the heater/lighter fuse in fuse box located inside the car

well you should first hard wire the non working fan to the battery to see if it is ok, then I would check the engine coolant temperature sensor, it is the sensor that tells the computer to turn the radiator fan on

Yes, that could possibly be your main problem when dealing with the blower motor and compressor, check the relay box and the fuse box inside the car itself