To analyze the given statements, we will evaluate each one based on our knowledge of plant biology, specifically focusing on algae and bryophytes.
### Step-by-Step Solution:
1. **Statement A: Sea Weeds include Phaeophyceae and Rhodophyceae.**
- Seaweeds are indeed macroscopic marine algae, and they primarily include members of the Phaeophyceae (brown algae) and Rhodophyceae (red algae) classes. Therefore, this statement is **correct**.
2. **Statement B: Red algae differs from green and brown algae in not having any flagellate stage.**
- Red algae (Rhodophyceae) are characterized by the absence of flagellate stages in their life cycle. In contrast, green algae (Chlorophyceae) and brown algae (Phaeophyceae) do have flagellate stages. Thus, this statement is also **correct**.
3. **Statement C: Bryophytes absorb most of their water through above-ground structures.**
- Bryophytes, such as mosses and liverworts, absorb water primarily through their leaves and other above-ground structures. They do not have true roots; instead, they rely on their surface for water absorption. Hence, this statement is **correct**.
4. **Statement D: Bryophytes seldom reach a height of more than 20 cm because they lack vascular system, roots, and mechanical tissues.**
- Bryophytes are generally small and rarely exceed 20 cm in height due to the absence of a vascular system (xylem and phloem), which limits their ability to transport water and nutrients. This statement is therefore **correct**.
5. **Statement E: The gametophyte in the life cycle of a fern is independent and autotrophic.**
- In ferns (which are pteridophytes), the gametophyte stage, known as the prothallus, is indeed independent and photosynthetic (autotrophic). Thus, this statement is **correct**.
### Conclusion:
All statements A, B, C, D, and E are correct. Therefore, the final conclusion is that **all statements are true**.