About DR election after ospf graceful restart

[Sanjay BM <sanjaybm at GMAIL.COM>]

Hi,

I had couple of questions regarding DR election on helpers after a
OSPF graceful restart.

RFC3623 states the following:
---
When Router Y exits helper mode for X on a given network segment, it
   reoriginates its LSAs based on the current state of its adjacency to
   Router X over the segment.  In detail, Y takes the following actions:

      a) Y recalculates the Designated Router for the segment,

      b) Y reoriginates its router-LSA for the segment's OSPF area,

      c) if Y is Designated Router for the segment, it reoriginates the
         network-LSA for the segment and

      d) if the segment was a virtual link, Y reoriginates its router-
         LSA for the virtual link's transit area.
---

Question 1:
Should Router Y (helpers) recalculate the DR for the segment even when
it exits helper mode successfully i.e, when grace LSAs were flushed
before grace period expiry.

Question 2:
Assume Router X is of higher priority than Router Y and that Router X
was the BDR before going through a graceful restart. Should Router X
become the new DR for the segment when Router Y runs the DR election
after exiting helper mode?

Thanx,
Sanjay