The configuration on NY router is good for OSPF authentication. So we must enable OSPF authentication on LA router with the following commands:
router ospf 1
area 0 authentication message-digest
interface E0/0
ip ospf message-digest-key 1 md5 Cisco123

As it states in the debug "Connection refused by remote host".
Extra step needed on the remote router (R3) which is to activate the neighbor in address-family ipv6 unicast and run the "neighbor <neighbor_IP> activate" command.

DHCP options 3, 66, and 150 are used to configure Cisco IP Phones. Cisco IP Phones download their configuration from a TFTP server. When a Cisco IP Phone starts, ifit does not have both the IP address and TFTP server IP address preconfigured, it sends a request with option 150 or 66 to the DHCP server to obtain this information.+ DHCP option 150 provides the IP addresses of a list of TFTP servers.+ DHCP option 66 gives the IP address or the hostname of a single TFTP server.

Explanation
From the output, we learn that the current best path is from 10.57.255.11 (which includes "...valid, confed-external, best") and this path is 2 ASes away (64955 65003). Although there are some paths with only 1 AS away (path from 172.16.254.234 for example) but they were not chosen the best path so AS_PATH was not used to determine the best path -> Answers A and answer C are not correct.
All the paths in the output have metric of 0 and this is the lowest (best) value for this attribute. If we configure higher MED then it is less preferred over other paths -> Answer B is not correct.
Only answer D is left but LOCAL_PREF attribute should be configured with higher value to be preferred so we hope "lower LOCAL_PREF" here means higher value. But this is the best answer.