Darkiedroid's sync requirements seem to include tasks, calendar, and not-LG's-calendar. I'm also guessing that Darkiedroid is not syncing through a corporate Microsoft Exchange Server, therefore Earlymon's suggestion for "Team Calendar Sync" will not work. (DarkieDroid: If you're operating in a corporate Microsoft Exchange Server environment, then I'd suggest asking your company's IT-people what kind of syncing they support & recommend.)
The Syncdroid website shows the features and cost for each 3rd-party solution. You can see that for an LG phone, the intersection of "Calendar", "Tasks", & "Free" doesn't exist-- except possibly for MyPhoneExplorer. However, since MyPhoneExplorer doesn't provide a "Tasks" app (as far as I know), I'm not sure how it could sync tasks, unless maybe you download a separate "tasks" app. (Perhaps dvhttn can explain.) It may be worth noting that MyPhoneExplorer can only sync when the phone is in close proximity to a PC (on the same WiFi router, or by USB, or Bluetooth) It won't sync via 3G/4G (the "Wireless" column of Syncdroid). But that may only be important if, for example, your secretary makes a change to your calendar on your Outlook PC while you're on the road, away from your PC. It may also be worth noting that MyPhoneExplorer only syncs with one Outlook-PC. If you have multiple PCs running Outlook, the PCs and phone won't all stay synced. Maybe not a problem.
If I have correctly listed Darkiedroid's requirements, then I think the best solution is Companionlink ($14.95). It has its own apps for Calendar, Tasks, etc. I haven't tried it but it has been around a long time, and has long been highly rated. Darkiedroid: You'd have to go to CompanionLink's website and follow their instructions for downloading and installing an app.
http://www.companionlink.com/
FYI: I don't care about syncing my Outlook "Tasks" to my phone. (I use the free My Groceries app to keep my shopping lists and my "To Do" lists synced between my PCs and my phone, and my wife's phone.) So I only care about syncing Calendar, Contacts, and email with Outlook. (And I use the native Calendar, Contacts, and email apps on my LG Optimus S.) So I use Android's built-in functionality and I added a free Microsoft account (e.g. Hotmail.com, Outlook.com, Live.com, or MSN.com) to Outlook on my PCs. I use Gmail for email (which automatically syncs to Outlook through Gmail's servers). And I use Hotmail for my calendar & contacts (which automatically syncs with Outlook through Hotmail's servers). This has the added benefit of automatically syncing multiple PCs (my desktop & laptop PCs) and Android devices (my phone and tablet). But it does not sync Tasks. More information on the Hotmail solution here.
http://androidforums.com/threads/we...ut-a-3rd-party-app-or-exchange-server.337012/