Interesting idea, especially as Esports is still a growing market.

The only thing I am critical about is the algorithm.
SHA256 is horrible to handle for smaller miners. As there are tons of ASICs out there for SHA256, smaller miners will probably not try to mine and your coin might run into a state of monopoly or oligopoly mining among a few ASICs.

If you were to change to a less vulnarable algorithm, chances are that it is viable for smaller people to support your coin as well.

The blocktime with 10 minutes is quite high, especially considering that a lot of FPS games are fast paced in contrast. Therefore, including maturing of blocks, it will take long to verify your results. So you might play 2-3 more rounds while still waiting for your early results to verify. This may or may not be a good idea, but considering how quick centralized betting systems are (delay of usually less than two minutes) people might see no benefit in a blockchain variant.

If you have thought about those points beforehand, let me know what your input is

Good luck with your coin anyway!