```python
def tile_renders(requests: list, fresh_for: int, size: int) -> list:
    if not isinstance(fresh_for, int) or fresh_for <= 0:
        raise ValueError("fresh_for must be a positive whole number")
    if not isinstance(size, int) or size <= 0:
        raise ValueError("size must be a positive whole number")

    cache = {}
    renders = []

    for tick, tile in requests:
        if tick < max(cache.keys(), default=-1):
            raise ValueError("requests must arrive in order of increasing tick")

        if tile not in cache or tick - cache[tile][0] >= fresh_for:
            if len(cache) == size:
                oldest_tile = min(cache, key=lambda x: (cache[x][0], x))
                del cache[oldest_tile]
            cache[tile] = [tick, tile]
            renders.append([tick, tile])

    return renders
```