Super Mario Run – Benefits of Toad Houses

It looks like the real time number is displayed without modifiers. Purple coins DO count, (I believe 10). All coins are the same. The bonus score is calculated from the number of Toads you have. It is not random. The enemy level multipliers are added as you are destroying them. (For example, jumping on a Goomba. There are bonuses when you step on multiple enemies at once. (e.g. jumping on 3 Goobas in a row gives you 1, 2, 4 coin respectively in the order, plus the enemy bonus level.) Hope that answers all your questions.

When you race against someone in Toad Rally, you are racing against a previous run of another player.

For example, you run a Toad Rally against a (random) player. When the run is over, the data from that run (when you jumped, the coins and items you collected, the number and color of Toads you got) is sent to Nintendo's servers. Later, I start a new Toad Rally game and select you from the list of potential opponents. The game will download the data from your run from Nintendo's servers, and use that to move the character representing your run. Since all of this data is stored from your original run, the game can use that to calculate the score of both players at the end of the run.