Thank you for the help Linc. I have performed every step, and also emptied trash after deleting all of the files you specified. Restarted machine, it asked me for passwords to login into Messenger and FaceTime. FaceTime still would not open. Redid the whole process again in case I omitted something on the first pass, then verified that the files were actually deleted, emptied trash, rebooted, tried to open FaceTime, still no luck. Went to force quit: "FaceTime (not responding)" and tried restarting the app, no luck. The messaging app opens fine and I went to settings, video on messaging to ensure the camera works, no problem here either. I have copied below a small portion of the error report in case this contains any useful insight as to what is the glitch with this program.
Thanks again for your kind assistance.
Date/Time: 2014-11-15 06:49:49 +0900
OS Version: 10.10 (Build 14A389)
Architecture: x86_64
Report Version: 21
Command: FaceTime
Path: /Applications/FaceTime.app/Contents/MacOS/FaceTime
Version: 3.0 (2142)
Build Version: 6
Project Name: FaceTime
Source Version: 2142000000000000
Parent: launchd [1]
PID: 512
Event: hang
Duration: 1.90s (process was unresponsive for 28 seconds before sampling)
Steps: 20 (100ms sampling interval)
Hardware model: MacBookPro10,1
Active cpus: 8
Fan speed: 4710 rpm
--------------------------------------------------
Timeline format: stacks are sorted chronologically
Use -i and -heavy to re-report with count sorting
--------------------------------------------------
Heaviest stack for the main thread of the target process:
20 start + 1 (libdyld.dylib + 13769) [0x7fff8f84f5c9]
20 NSApplicationMain + 1832 (AppKit + 13348) [0x7fff95b44424]
20 -[NSApplication run] + 594 (AppKit + 98163) [0x7fff95b58f73]
20 -[NSApplication nextEventMatchingMask:untilDate:inMode:dequeue:] + 194 (AppKit + 147408) [0x7fff95b64fd0]
20 _DPSNextEvent + 2665 (AppKit + 151238) [0x7fff95b65ec6]
20 AEProcessAppleEvent + 56 (HIToolbox + 242558) [0x7fff8f90e37e]
20 aeProcessAppleEvent + 295 (AE + 54819) [0x7fff9ad00623]
20 dispatchEventAndSendReply(AEDesc const*, AEDesc*) + 31 (AE + 55065) [0x7fff9ad00719]
20 aeDispatchAppleEvent(AEDesc const*, AEDesc*, unsigned int, unsigned char*) + 531 (AE + 55708) [0x7fff9ad0099c]
20 _NSAppleEventManagerGenericHandler + 102 (Foundation + 139977) [0x7fff999da2c9]
20 -[NSAppleEventManager dispatchRawAppleEvent:withRawReply:handlerRefCon:] + 290 (Foundation + 140376) [0x7fff999da458]
20 -[NSApplication(NSAppleEventHandling) _handleCoreEvent:withReplyEvent:] + 244 (AppKit + 165893) [0x7fff95b69805]
20 -[NSApplication(NSAppleEventHandling) _handleAEOpenEvent:] + 574 (AppKit + 167366) [0x7fff95b69dc6]
20 -[NSApplication _sendFinishLaunchingNotification] + 191 (AppKit + 180166) [0x7fff95b6cfc6]
20 -[NSApplication _postDidFinishNotification] + 291 (AppKit + 180827) [0x7fff95b6d25b]
20 -[NSNotificationCenter postNotificationName:object:userInfo:] + 66 (Foundation + 11937) [0x7fff999baea1]
20 _CFXNotificationPost + 3140 (CoreFoundation + 65972) [0x7fff98e1a1b4]
20 __CFNOTIFICATIONCENTER_IS_CALLING_OUT_TO_AN_OBSERVER__ + 12 (CoreFoundation + 1174716) [0x7fff98f28cbc]
20 ??? (FaceTime + 289984) [0x101c30cc0]
20 ??? (FaceTime + 202187) [0x101c1b5cb]
20 ??? (FaceTime + 202617) [0x101c1b779]
20 -[NSMutableArray sortRange:options:usingComparator:] + 424 (CoreFoundation + 637464) [0x7fff98ea5a18]
20 CFSortIndexes + 549 (CoreFoundation + 409061) [0x7fff98e6dde5]
20 __CFSimpleMergeSort + 232 (CoreFoundation + 409352) [0x7fff98e6df08]
20 __CFSimpleMergeSort + 449 (CoreFoundation + 409569) [0x7fff98e6dfe1]
11 ??? (FaceTime + 195483) [0x101c19b9b]
7 ??? (IMCore + 337548) [0x7fff8dd3e68c]
4 -[ABPerson _fullNameIncludingAuxiliaryElements:] + 81 (AddressBook + 628598) [0x7fff917d4776]
4 -[ABPerson nts_coreDataFullNameIncludingAuxiliaryElements:] + 52 (AddressBook + 630236) [0x7fff917d4ddc]
3 -[ABCDContact(ABNDABCDContactAdditions) fullNameIncludingPrefix:suffix:nickname:company:] + 70 (AddressBook + 933232) [0x7fff9181ed70]
2 -[ABCDRecordNameFormatter initWithUserDefaults:] + 133 (AddressBook + 214040) [0x7fff9176f418]
2 +[ABCDRecordNameFormatter defaultSortOrderWithUserDefaults:] + 68 (AddressBook + 214212) [0x7fff9176f4c4]
1 -[NSString rangeOfString:options:] + 48 (Foundation + 121136) [0x7fff999d5930] (running)