A:Answerdon't know about the kindergarten games - they would have to be Chrome compatible (versus Windows or Mac); There are more android apps available for it now with the Google Play store apps. Any bluetooth-connected mouse should work. Probably even a USB-connected one too. We just use the integrated track pad near the keyboard, so no direct experience.
A:AnswerYes it can print. The printer has to have Air Print capability, so look for that in the specs. I just bought a Canon ImageCLASS LBP151dw laser printer and it works great w/ this ChromeBook. I chose that printer because I already owned another Canon printer similar to it, but is about 3 1/2 years old and wasn't Air Print compatible. While that printer worked w/ this Chromebook at first, it stopped working.
I didn't see this printer at Best Buy, but I did see it on their website. I wanted to see it in person, but never was able to. I just ordered it and hoped for the best! So far I like it, and have had it probably about a month. I like that it prints on both sides of the paper automatically. You can shut that option off as well.