About the daily minning missions, you have to unlock them. So at tier one, you can get a doff mission that gives you 250 dilithium per 20 hours. At tier 3, the same mission gives 500 dilithium per 20 hours. I missed the tier 2 version, but I assume it would be about 350. These missions do not stack, you one get one version depending on what tier you are. So you can't run both the tier 1 and the tier 2 missions if you are tier 2.
There is another mission that gives EC, 23,000 about to 33,000 about depending on tier.
The daily rich mining mission was not hooked up on tribble last night, but it only comes when you finish the mine, all tiers.