Graphene is not lead, it is a very interesting polycarbonate molecule, with six carbons forming a ring (aromatic), the rings actually bound together with other rings in order to form a sheet. I suggest you read the article and look at the picture:
http://www.graphene-info.com/graphene-introduction
As far as I know, there is nothing particularly dangerous about graphene and I would, in fact, expect it to be pretty stable/inert. However, carbon sheets only explain the backbone; what other atoms are part of the material and in what configuration? Atoms alone speak very little to toxicity vs. safety. NaCl is common table salt, but Cl2 is quite deadly. Specific configuration is almost EVERYTHING in chemistry...and probably especially so when talking about organic (Carbon based) molecules.
That said, it remains a good question what it might be doing in a "vaccine". In searching for an answer, what I found was article after article saying it is not true -- there is no graphene used and, in particular, it is not used in Pfizer's mRNA.
It would be nice if our media had ANY credibility, so this could be considered strong evidence settling the issue. But they don't. And neither do the pharma companies in question. They've all be caught lying and cheating way too many times for them to have benefit of the doubt. Meantime, I did find this:
http://pubmed.ncbi.nlm.nih.gov/32531395/ So it is a valid question if graphene was used; or was only being considered for use?