Thanks for the link – that helps!
The screen reader text is there to help visually impaired users who use screen reader software navigate your site. Without that text, users won’t be able to find/navigate through your social media accounts. If you’re building a theme, it is important to take accessibility into account so all users can use your theme. You can remove it with CSS, but I would recommend against it.
With regards to the icons – which set of icons are you having trouble with? In this screenshot – https://d.pr/i/Ibkr – it looks like #1 is a custom set of icons you’ve set up and #2 is the Jetpack social icons? If not, please clarify which set you’re having trouble with and I’ll be happy to take a closer look.