[1. Do confirmations continue to arrive after receiving bitcoin infinitely?]

Hello there… I spent the last three days reading the wiki, this forum, various sites and doing an immense amount of google searches to find answers before asking questions here in the forum. I do however have a few that I can't seem to find answers for. Also, just want to say that I don't think that I've been this excited about something virtual since first coming online in the early nineties.
 
1. Do confirmations continue to arrive after receiving bitcoin infinitely?
I went to the Faucet today to try out receiving bitcoin and received the bitcoin fine. However, at the time of writing this I'm up to over 81 confirmations underneath the status tab for this one transaction. Is there something I need to do to stop them from increasing in number or is this how it works.

The wiki doesn't explain this very well stating simply:
"write about blocks and confirmations here."

https://en.bitcoin.it/wiki/Using_Bitcoin#Transaction_confirmations

2. What is the most stable way of setting up to be able to accept Bitcoin on one's site?
I am an established online retailer and visual artist who is interested in using Bitcoin to sell my fine art and handmade paper goods. I have been selling online for close to four years now and have a positive reputation. As I can not accept Bitcoin through the site I sell on I'll be creating a special page on my blog for this purpose.

I noticed many individuals and organizations who accept Bitcoin donations such as EFF simply place their wallet number on their site. Is that the best way to do it until things stabilize more? I'm already aware that there are a few shopping cart systems that already have modules developed for them but sadly, are not systems that I currently use.

3. Does unticking the Generate Coins under Settings within the client stop mining for good?
I do not have interest in mining as my computer is already bogged down with too much to do.

Anyhow, thank you all