I have a 01’ BMW 325i with the following codes on P0313, P0300, P1353, P1351, P0135, P0155, P0313, P0300, P1344.

Hello, that's a hell of a string of codes. Perhaps you had some bad gas? Spark plugs are never a bad idea. Be sure to service the coils as needed too. I don't know that any of that has anything to do with your concerns and codes -- so further testing may be needed. www.repairpal.com/repair-shops