Steering wheel locking up and engine light comes on then it releases

This type of issue will require a hands-on inspection by a shop. They would start by scanning the car for codes. Use this link to find a good shop near you. https://repairpal.com/repair-shops Alex

Hello, additionally to Alex's comments -- it appears that your drive belt is slipping (especially when raining!) at the time the concern occurs. The slipping causes warning lights to appear due to low system electrical power such as with an alternator that is also not turning during the drive belt slippage, as well as the loss of power steering operation. Finding the root cause for the belt slippage is important to accomplish in resolving the concern.