Front oil cooler removal

Someone attempted to assist me in removing my car listed above from where it was stuck in front of his house with a tow rope. He attached it to my radiator housing and spun his Dakota 4x4 tires for about 3 minutes before he forcefully removed it from my car told me to cut it off mumbled that my frame must have had prior damage and my car was “kapoot”. So I took a come a long and hooked to my radiator housing pulled the opposite way he did. Attempting to remove my busted oil cooler component, the one that looks like a small radiator and is installed between the radiator and my fans I’m having a bit of trouble. My Haynes manual has very little information, I need to know what size of flare wrench and open end wrench I need and what technique has to be used with the two wrenches to remove the lines from the oil cooler component. Should I just replace the entire oil cooling system? I had no option but to buy the kit to get the damaged part.