No. No video games at that age, make them go outside and play football.
My 5 year old and 3 year old love the Flatout series and Next Car Game. We play it over the LAN. You can't go wrong with cars going bang crash wallop.
. I would also recommend Need For Speed series but don't know if it's got LAN Multiplayer.I don't see the problem if its raining?Did you never game at that age? Also what if it's raining?
Plants Vs. Zombies : Garden Warfare. Great fun!

Burnout Paradise The Ultimate Box
kids playing pc games at 7 says a lot about the parents