Engine light is on and shifter is sticking when wet out .

Hello, you have multiple separate concerns, apparently, here. The check engine warning light coming on has to do with either engine performance, or possibly an emissions control concern. Testing will be required focusing on this area to find out what is influencing this light being on and causing the problem. The locks not working properly is a problem with body hardware and electronics. Is the lock binding? Is the power door lock actuator on an affected door not working properly? Are switches not activating the locks properly? Testing is needed; definitely not related to the other noted concerns. The shift lever sticking has nothing to do with either of the previously mentioned items. Sticking - meaning binds on movement, or will not release from Park? This is important for the technician to know and it'll be important to duplicate the concerns to know what's going on. The seat belt light should come on when it's noted that a seat belt in the front occupied seat is not being worn. Certainly, above all things, make sure the engine's battery is fully charged and able to accept a load. But, it's seeming like you have multiple concerns that aren't super major, but each have their own issue that needs to be resolved. Use this link to find some shops near you that can help with your concern: www.repairpal.com/repair-shops