The short answer...  I don't know for sure.

Clarified answer...  At the present time I do not believe that there is a huge difference in how Google and other search engines treats H1, H2 and H3.  However, just to have things straight... I would make that

Acadia Court an H1.  You can change the appearance using css.

You didn't ask but when I looked at the code of your page I was shocked to see so many link tags commented out.  I would be getting rid of those if this was my site.

Doug says... "Ignore the links"....  I agree....

If this is an "on site" blog you should be focused on the message.  You should be blogging to educate your readers or present your point-of-view.  Link to another page on your site only when needed or when you want to let the reader know that you offer a service (and this should be limited to genuinely relevant links).

Blogging on your own site isn't about generating links to other pages.  It is about demonstrating your expertise.  The links that you should be after is the ones that people read what you have to say, are impressed by it, and link to it from their own website because what you have said is so important that they want THEIR readers to know about it.

For example right now I have an H1 tag with my main targeted keywords on every page on my site, even if the pages content doesn't necessarily match the keywords in the H1 tag.

Most likely, you will be able to improve the search engine traffic of most pages by making the H1 text match the topic of your PAGE.

Instead of making "slideshows" I place all of my photos on a big single page with lots of generous captions.   Then when people land on those pages they say ... WOW!

Some of my big pages full of images are ranking well in google for very difficult queries.

A lot of people don't like slideshows because they have to click, wait, click, wait, click, wait.  I don't like them.  That's why I don't use them.

Google can see a slideshow as a whole page with one image and not a lot of text.  They might think that the purpose is to get visitors to click click click and display a lot of ads.  It would not be a surprise to see google judge a big page with twelve images and 1000 words as much more deserving of rankings than a single slideshow page.  That's why I don't see slideshows ranking above my big pages with a lot of images.  Plus, if you have a lot of pages like that on your website then you could have a panda problem for thin content.

I bet all of my money on visitor engagement years ago.  I don't think anybody believed me then, lots don't believe me now.   I have not done any real site promotion for a long time.

Throwing Out the Book on SEO!

This is just my feel for this after watching my own sites pull in thousands of visits per day from image search, but I have not done systematic study.... and Google could have changed even if I did systematic study.

First, I say that character count is irrelevant.  What you need to focus on is the keywords you want to  be visible for.

If you are optimizing for image search, I would use very specific keywords.  The exact keywords that you want your image to rank for. AND, most important, the exact keywords that people will relate your image to.  If you call it a duck and it ain't a duck, that blows the value of alt text.  Google knows a little about this stuff, even if they make the news by messing up once in a while.

If you are optimzing for websearch, I would use the specific keywords for my webPAGE on the highest image in the code of the page.  It is really important to give people an image that their query relates to.  If your page is about ducks and you image is a weasel, they are going to leave.

After that, it I mix it up, keeping relevant to the image and relevant to the page.