Honda, I’ll add some points.
If those 3/8" hoses you’re looking at are coming from the bottom of the radiator, they’re not the heater hoses that Keith is referring to. They’re coolant lines for the transmission fluid.
Also, you commented that the PCV valve was stuck open and the engine was sucking oil. That’s incorrcet. The PCV valve (Positive Crankcase Ventilation) should allow passage in the direction from the space under the valvecover to the intake. It should only close if the pressure from the intake exceeds the pressure from the valvecover space. Its purpose is to prevent a backfire from igniting voletile fumes from the crankcase, which is ventilated via the oil return passages from the valvetrain area. The crankcase fumes vent up from the crankcase into the raeas under the valvecovers and get drawn into the engine via the PCV valve. In short, a stuck open PCV valve will not cause oil to be sucked into the intake if everything else is okay.
The reason we tell people to check the PCV valve ehen they have excessive oil usage is because a PCV valve that’s stuck closed can allow excess pressure to build in the crankcase. That can cause oil to be pushed into areas it should not be in, including being forced through tired valvecover gaskets, oilpan gaskets, and crank seals, and even be pushed out the fill tube in extreme cases.
I think it’s time to follow OK4450’s advice and have the engine checked for the integrity of the cylinders in holding pressure.
Also, I’d want to look ofer the radiator for erratic heat dissipatiuon that might suggest clogged tubes. A simple infrared thermometer scanned over the radiator surface can detect hot spots and cold spots that can help assess the radiator’s condition.