Minor keys?

I'm done studying major keys, but now I'm curious about minor keys... I assume...

VI becomes I
VII becomes II
I becomes III
II becomes IV
III becomes V
IV becomes VI
V becomes VII?

As in, A min, D min, and E min become the I, IV, and V of A minor? Also, I've noticed that these are just like the I IV V in A major, excpept, of course, they're minor... Also, perhaps, that B min, E min, and F# min are the I IV and V of the key of B minor? Is this just a coincidence?

Also, based off the idea that you can invert the scale degrees like that, can you do the same with the other degrees in the scale? For instance, I wrote a lick in D Dorian yesterday, except now of playing C major to get a sense of revolution, I feel that D major makes the resolution of a tonic chord....

So, could I say that the key of "D dorian" is...

D maj
E min
F min
G maj
A maj
B min
C# dim?

Actually, that sounds like d maj... Or was I just modulating and not even knowing it?

... Sorry if this sounds kinda abstract, but I'm rather confused about this field of theory. :p