Bought the car a month ago and did my first oil change on it. Didn't realize I left the old oil gasket on it and drove 2.5 miles. Oil all over the engine and my driveway. Needless to say I won't be doing that again. Anyways I go to change the oil and it's got about 3 quarts left. Go to start the car and its dead. Give it a jump after a few tries it fires up. Throws P0345 and P0349 codes. After research I see it's a common alternator issue. Haven't had any problems starting the car since I jumped it. Should I just change the sensor and see if the code goes away? Also it smells like something is buring after driving but temperatures stay fine. I assume its cause all of the spilled oil all over the engine? (I hope)