Concept:
Helianthus (Sunflower) possesses an anatropous ovule.
An anatropous ovule is the most common ovule type among angiosperms.
Step 1: Check Statement I.
Anatropous ovule is inverted.
Hence Statement I is correct.
Step 2: Check Statement II.
The ovule bends completely.
\[
\text{Curvature angle} = 180^\circ
\]
Hence Statement II is correct.
Step 3: Check Statement III.
Sunflower ovule is unitegmic.
Hence Statement III is correct.
Step 4: Check Statement IV.
Micropyle comes close to funicle.
This is a defining feature of anatropous ovules.
Hence Statement IV is correct.
Therefore:
\[
\boxed{\text{I, II, III and IV}}
\]
are correct.
Hence option (C).