Is it my wheel bearing or something else giving me issues?

Hello, left and right movement may or may not be a problem if the wheel is not appropriately supported when wiggling it. Or, you could have worn steering components. The ABS light being on sometimes is evidence that one or more trouble codes are set, which can be retrieved using a good diagnostic tool capable of reading chassis module (C) codes. This is the first place I'd look because you can get good clues. Use this link to find some shops near you that can help with your concern: www.repairpal.com/repair-shops