Because it's your honeymoon, you will probably want to take some time to relax, chill out after all the 'to dos' of the Wedding.
Therefore, I recommend that you choose two areas of interest and base youselves there for 2 or 3 days at a time which will allow you to explore the immediate area and also take a day trip or two away from there if you want to.
I imagine you will want to spend the first 3 days in dublin and then the last 1 or 2 there also. That leaves you with about 9 days to tour the remainder of the country.
As a kick off for you, I recommend the following:
4 days in County Cork/Kerry
2 Days in County Clare/Limerick
3 Days in Galway/Mayo
The idea would be to choose well located hotels which will act as basecamp. All of the areas I have mentioned above have many good accommodation options.
A very handy website for anyone who is considering a first time trip here is the Heritage Ireland websiite. www.heritageireland.ie The site contains a list of Ireland attractions and it will help you to decide which ones (if any) interest you and therefore begin thinking about an itinerary.
Lots of time to plan so don't rush into anything and come back here often when you need help !