Flickr handles both tasks quite well. With the caveat that "original" does not include RAW format. If you shoot raw you will have to process to JPEG (or PNG or non-animated GIF) before upload.
Backup in original resolution & quality
You can start with a Free account. That allows you to upload original resolution and quality, but not download it or share it. The original is stored though, in the event you convert to Pro (paid) later.
Free limits the total bytes uploaded per month, and would not be practical with over 3 GB in your folder; so it would just be "to get your toes wet".
They support various uploaders that make bulk uploading of a batch of photos much easier. Perhaps easiest of all is the tie-in to the Eye-Fi card; I'm very happy with the upload add-in for Lightroom 2 (haven't tried Lightroom 3 yet).
Share pictures with friends and family
Flickr supports two mechanisms for sharing with friends and family. Here I mean sharing restricted to friends and family; sharing with the general public is trivial. Restricted sharing starts with setting a photo's privacy to "Private", with either or both of the Friends or Family qualifier.
For those who are also Flickr members you can designate them as Friend and/or Family, and they can thereafter see any of your photos similarly marked whenever they sign-in. Their membership can be Free, and if they already have a Yahoo account the sign-up process is simplified.
For those who are not Flickr members you can generate a "Guest Pass". The pass is a URL with a coding in it that acts like a password. Guest passes are restricted to single photos or to sets of photos that you designate. You can cancel a Guest Pass at any time.