Do Facebook posts with our blog links help with SEO?
Short answer YES Facebook links will definitely helps with SEO as Google count social signals before ranking a website in SERP results. Google crawls Facebook and Twitter YES, however this may not be the best quality links they are similar to forum comment posting a very low level/quality of link building. Yet social links indirectly effect rankings with traffic and this you can see within analytics.
Facebook is a high authority website and if you are getting backlinked then it is good. You can do some social sharing ask your friends to share your posts, pages, comments. This is an ethical way to generate traffic more than Quality Backlinksbut the efforts will be rewarded.
Key factors in ratings; Popularity within related quality websites linking back. Trust is important too links from and to spam sites will not help and may actually harm your sites rating.
Keep links fresh and coming as a site rated well today will degrade over time without fresh and original content.
Social sharing such as Facebook links and Twitter do help, social links are debated as to how effective but the best way to gauge success is traffic and bounce rates. If your social links are from zero to hero and make up 28% or more you know it is helping.