Did you actually delete it from your Applications folder or just the Dock? Check to see if it's still in Applications. If it's not there you could try downloading and re-installing the 10.9.2 Combo installer in the hope that will re-instate the App Store:
http://support.apple.com/kb/DL1726
Not sure why you can't find your contacts and calendar though as they are separate apps - also check your Applications folder for those apps - maybe it's just the Dock they're missing from.
It's OK to re-install over your existing version of 10.9.2, but I'd recommend you have full backup that you can restore from should things take a turn for the worse (they shouldn't, but it's always a good idea to have a recovery plan in place before you need one).