Is "and all" a filler?

Solution 1:

I didn't think I would find anyone here, being a Sunday and all.

And all is not a filler. It means and all that is associated with the fact (that it is a Sunday). It means people usually do other things on Sundays because of all Sunday implies/carries with it.

It being a Sunday and all, I'm sharing some thoughts on faith.
I would imagine it being a Sunday and all, most people are headed back to their homes and getting ready for the workweek.

The second usage is potentially totally different. It may be you, me, and everyone else or might mean because of me and all that implies. Without more context, it's hard to tell.