لَا رَجُلٌ أَفْضَلَ مِنْكَ — lā like laysa: nominative ism + accusative khabar.
لَا رَجُلَ قَائِمٌ — generic lā: ism built on fatḥ in the accusative position + nominative khabar.
لَا تَكْتُبْ — prohibitive lā, which makes the present verb jussive; not an ism–khabar construction.
The third example is only a contrast; the printed passage treats the first two.