Sheetrock holes
Use a mesh patch for holes that need support before compound.
Cracks and seams
Use joint compound and tape to reinforce cracks before sanding.
Nail pops
Reset the fastener, cover with compound, sand smooth, prime, and paint.
Sheetrock vs Drywall
Sheetrock is a well-known drywall brand name. In search, people often use sheetrock repair kit and drywall repair kit to mean the same thing. The repair method is usually identical.
Related Guides
How to patch drywall | Large hole repair kit | Spackle vs joint compound