Can I use some from other themes or some from other plugins?
You can install any image slider or image fader you want. There are multiple Shape 5 ones to choose from in the downloads area, and even more in main WP plugin repository. A quick search on the "Install Plugins" page of WP admin will give you a large selection to choose from.
Or at least to shrink that grey stuff under the picture in slide? (check attachment)
If you don't like the slide text, you can always disable it in the widget options. I don't believe there is currently an option to set the slide height, but you can always use Firebug
to look at it and figure out what CSS to edit if needed.
Also where in theme is colour adjustment to decide "Read More" visual? I wanna have other colour there (red, like in theme, f.e. Top Row red)(check attachment)
Since you still haven't posted a link to your site in this thread, I can't directly look at it; but based on the screenshot, and after looking at the demo with Firebug
, I believe what you're looking for is the "Highlight Color" option on the first tab of the theme options.