Well I am no doctor, but can tell you that eyes heal incredibly fast usually.
I burned my entire cornea with a curling iron many years ago (aobut 20 now I guess). OMG talk about clutzy! I was curling my bangs under, hair got stuck in the iron and I pulled, which reflexes warrant you hand pulling out then going right back to the start position with force! This resulted in the curling iron going right into my eye ball!
OMG the pain! I had to go to the ER, they numbed my eye so I could even open it and get it examined. I had to use a patch for a few days (opening and closing it can cause more damage with scratching), then it was all fine. Having no depth perception stinks tho! I ran into all sorts of stuff and had the shins and knees of a toddler (all bruised!). I could not drive and was given something mild for pain for those 3 days or so.
I was just fine after that. I have never worn contacts and only now wear glasses to assist with reading (when I remember and decide its bad enough..I hate them on my face...ugh)
You might want to consider getting them checked to be sure, but hopefully it will all be fine. I sure would NOT drive easpecially with kids in the car! Be careful!!