Castle Alamos Password

The third letter first of 26 __A__
The fourth is eighth from the end R is eighth from Z __AR_
First is half the fourth plus one. 
Half of R (18) = i + 1 = J
The second next to the third, if A is third then it must be B JBAR_
The fifth is twice the second, 2 x 2 = 4 
D is fourth in the alphabet

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