Getting a series of vaccines in a short period may cause the protective efficacy to be lower just because the immune system is overworked. It will not cause some long-enduring reaction, although the adjuvants in one or more of the individual vaccines could potentially cause a systemic inflammatory response. Why the o.p. believes that this would “put my brain-blood-barrier at major risk” or interact with prior “longterm toxic-mold exposure” is another question, one I suspect is drawn from suspect internet research on questionable (at best) websites.
The mention of this sparked a memory so I did a little search and found previous threads in which the o.p. has described his mold exposure and purported maladies: