Autopostings to Facebook which can be shared ?

I am currently using the Social plugin for WordPress but have noted some omissions to how it works which mean I am looking for an alternative means of autoposting blog entries to Facebook and Twitter.

My needs are:-

1. autopost from WordPress to Facebook (and twitter if possible)

2. Can schedule posts

3. Can post to Facebook Business page

4. Post on fb includes all images and formatting (not just featured image)

5. Post on fb is shareable (AFAIK posts made by 3rd party apps aren’t shareable by people and so losing traffic)

Anyone know of a way to do all of the above ?
Social plugin does 1,2 & 3 but not 4 & 5