```python
from typing import List

def tile_renders(requests: List[List[int]], fresh_for: int, size: int) -> List[List[int]]:
    if fresh_for <= 0 or size <= 0:
        raise ValueError("fresh_for and size must be positive whole numbers")

    cache = {}
    renders = []

    for tick, tile in requests:
        if tile not in cache or tick >= cache[tile][1]:
            if len(cache) == size:
                oldest_tile = min(cache, key=lambda t: (cache[t][1], t))
                del cache[oldest_tile]
            cache[tile] = [tick, tick + fresh_for]
            renders.append([tick, tile])

    return renders
```