The main goal is summoning your boss monster Elemental HERO Neos as quickly as possible to tilt the board in your advantage. The skill Beatdown is to further boost your attack, since Elemental HERO Neos has low attack compared to other high-leveled monsters.
Both R - Righteous Justice and Champion's Vigilance are powerful cards, although they have their conditions to activate.
R - Righteous Justice destroys spell/trap cards on the field equal to the number of Elemental Hero monsters you control. With enough Elemental Hero monster this could clear your opponent's entire backrow. But you cannot activate R - Righteous Justice if the number of Elemental Heroes on the field exceeds the number of spell/trap cards.
Champion's Vigilance can only be activate when you have a high leveled normal monster on the field (Elemental HERO Neos in this case), but it can negate the summon of monsters and the activation of spell/trap cards.
Anonymous, I can tell you you are VERY wrong. Here in Singapore, it is not uncommon for some middle class kid to spend about 400+, give or take 800, simply on one game. It might not be thie game, it might be this game. One does not need to be an oil tycoon to be able to spend a mere 100 on this game. On the contrary,oil tycoons have better things to do than play childrens card games :)
You need to pay money in order to get 3 Blazeman. Not 100 buckets, but still something like 10. And futhermore this is not a bad deck per se, but not a great one neither.
So in overall 10€ for an average deck is not cheap either.