Do I have the right motor by my car

Are you asking if it is a numbers matching engine for your car? Assuming that is your question : look at the front of the engine , top of the block deck surface directly behind the water pump mount to block area. There will be a machined surface with numbers stamped on it those numbers will match the last numbers on the vin tag on the car. Stamped numbers may also be just around the corner from there on a machined boss sticking out from the side of the block just below the deck surface on passenger side of car . Also found this info that may help : The 1983–84 Hurst/Olds and 1985–87 4-4-2s are distinguishable by there being a "9" as the engine code found in the 8th character of their VINs. These were the only models to get the hotter VIN 9 307 cubic inch engine, and it was the only engine available. From 1983–1985, this engine was flat-tappet valve train, and rated at 180 hp/240 lb•ft torque. In 1986, the 307 engine received a roller-camshaft valve train and new swirl-port heads to improve economy and low-end torque. HP dropped to 170, with torque climbing to 255LBS FT. The 1985 4-4-2 used an OZ code THM 200-4R transmission (as did the 1983–84 Hurst/Olds). Both 1986 and 1987 4-4-2 used the KZF code THM 200-4R. The KZF removed much of the shift harshness of the original OZ coded transmissions, but were still firmer than the run-of-the-mill overdrive transmissions used in the rest of Oldsmobile's lineup.