MacBook Air Messages Application and iPhone 6 Messages not synching

Hello,

I have an iPhone 6 and just purchased a MacBook Air (OS X Yosemite Version 10.10.2)

I am having trouble getting the Messages Application on the MacBook Air synching with my iPhones messages. A few contacts don't show up on the Messages application on my computer and sometimes messages take time to come through.

This might be a separate issue but my Calendar is also taking time synching. This seems more of a delay issue.

Thank you for your time in advance!!!