How can I prevent multiple socket from being damaged?
It's more likely that the problem you're experiencing is high inrush current. All the gear you have connected is going to use switchmode power supplies, which have characteristic high inrush current when first connected to power as large capacitors inside charge. The inrush current for a switchmode supply can be many times higher than its normal consumption, though only for a very short period (less than a second). See the inrush current row of this table.

It is possible that the combined inrush is enough to damage your board/pop fuses. The only way around this would be a board that can handle more current (may not be practical/easy to find one), or to stagger-start the devices - that, is don't have them all energise at once. Neither of these solutions is ideal, you may need to look at spreading the devices over two boards.