Yes to both. All Pacific territories (minus British Columbia plus W. India) under British control are considered controlled by UK Pacific, even if their capital (India) is enemy-controlled. Same if London is enemy-controlled, India doesn’t get that extra income.
OP noted as First Edition - It’s probably best not to confuse him further by bringing in 2nd Edition map changes in a question that is more broad.
London does not and cannot EVER collect income from UK Pacific territories.
Calcutta does not and cannot EVER collect income from UK Europe territories.
Money is NEVER transferred between BUT they may share the cost of tech research rolls.