```python
def tile_renders(requests: list, fresh_for: int, size: int) -> list:
    if not (0 < fresh_for <= 10**9 and size > 0):
        raise ValueError("fresh_for must be a positive whole number less than or equal to 1 billion, and size must be a positive integer.")
    
    cache = {}
    result = []
    for tick, name in requests:
        if tick != len(result) - 1:
            raise ValueError(f"Tick {tick} cannot precede the last tick {len(result) - 1} in the request list.")
        
        # Check for existing render
        if (name, tick + fresh_for) in cache:
            result.append([tick, name])
        else:
            # If no space in cache, remove the oldest render (oldest tick and smallest name)
            if len(cache) == size:
                oldest_tick = float('inf')
                oldest_name = None
                for key in cache.keys():
                    tick, _ = key
                    if tick < oldest_tick or (tick == oldest_tick and cache[key] > cache[oldest_name]):
                        oldest_tick = tick
                        oldest_name = key
            
            # Replace the oldest render or add a new one
            if oldest_name:
                del cache[oldest_name]
            cache[(name, tick + fresh_for)] = result[-1][1]  # Store it at the current tick's place
        
        result.append([tick, name])
    
    return result

```