Hi Iris
If you change some of your anchor texts for some of your internal, I don't think Google will think that spammy. As I said, it is a case of making your linking natural rather than trying to engineer sentences around a keyword phrase.
Looking at and browsing through your site (villasdiani.com) I don't see there is a problem. The amount of links you have per page seems reasonable and I did not notice repeated use of anchor texts. That being the case I wouldn't worry about changing anchor texts as it won't be worth the effort as you would be trying to fix something that is not broken.
Just one thing though that I did notice when browsing your site is that a lot of the links within the body of your pages (not it seems from sidebar links) open a new tab/window when clicked. That's not an issue for your SEO, but I think it is something you maybe should look at from a user experience perspective - which may have a knock on affect to your SEO.
Maybe it's a personal thing for me, but when browsing a site, I want to do so within the same tab/window. If I click an internal link and it opens a new tab/window and then I find that I want to go back to the previous page, I have to close the tab/window to go back. If that keeps happening then I think that can disturb the flow of what you want the visitor to do, i.e. browsing your site.
However, if there's an external link on a site, then I think it is reasonable to have a new tab/window open when that is clicked although there is a case for that to open in the same tab/window as well.
It may be worth putting a question on this out to the Moz community, but for me as I said, it feels a little bit clumsy to keep having tabs opening as I browse your site. It's not a big problem so don't worry that it's going to do anything bad, but I thought it was worth mentioning.
I hope that helps,
Peter