Colorscheme issues: missing parts
I am using a completely unmodified version of your config.
I am using neovim
My font is Hack Nerd Font Mono
This is what happens with any colorscheme other then hybrid

I'm using hybrid colorscheme, and ./themes/hybrid.vim only triggers for hybrid.
So the statusline and tabline are quite colorless, yes. You can use lightline or airline, they are very popular.
Try to copy hybrid.vim in themes directory, to a name of the colorscheme, and see what happens...
Hope I'll have time soon to improve my custom tab/statuslines.
Tabline and statusline have been improved to make an effort and adapt to current colorscheme colors. Pushed a whole new rewrite of vim-config, 100% lua and lazy.nvim as package-manager, check it out...