I used to make my own site in Dreamweaver, and now I use a Wordpress/Comicpress site. I was never a great web designer by any stretch of the imagination, and if I had been able to design a site that looks as nice as yours in Dreamweaver I might have stuck with it.
The main advantage for me with the Wordpress site is ease of use. I can easily schedule my comic updates in advance, making navigation buttons and a self-updating archive page is easy, and since it's widely used, a lot of technical support is available.
However, you can't install Comicpress on a Wordpress.com site, only a self-hosted Wordpress.org site.
As far as SEO goes, I don't know that there's any advantage to a Wordpress site. I have had more traffic since I switched to the new site, but I suspect it's mainly because the new site is easier to navigate (my old site had kinda weird navigation). Search engines have never been a great source of traffic for me, and I suspect that's the same for most comics.
There are probably widgets in Wordpress to add "suggested links" to your page, but they aren't there by default and not anything that's likely to generate traffic.
As far as adding advertising goes, I found it a little easier to do in Comicpress, but not much. As smbhax said, it's a pretty simple process, especially Project Wonderful.
Most shopping carts and store systems have Wordpress plugins, so setting up a store in Wordpress should be easy, but once again it's usually not too hard to set one up in Dreamweaver either.
Also, I doubt that your skills will become obsolete, but I found that my copy of Dreamweaver has become semi-obsolete, so the price of upgrading your software occasionally may be a factor to consider as well.