Yes, you need a second camera that exactly matches your first. Whether or not you
need to change your lenses may be a moot point.
Whether you see it or not, you are working as a professional photographer. This means that you need to have right equipment for the work that you do but it also means that you won't make any money if you waste it on things that you don't actually need. One of the very first principles of running any kind of business is that you don't spend money unless you need to, and you don't spend it until you need to.
I know that some people love their mirrorless cameras but they seem to me to very expensive for what they bring to the party.
you need fast lenses that produce adequate quality at max aperture, but do they really need to be super fast?
Do you really need 128GB cards?
Do you really need a pair of fancy holsters when something like this will do?
https://www.ebay.co.uk/itm/New-Double-Quick-Rapid-Shoulder-Sling-Belt-Neck-Strap-for-Camera-SLR-DSLR-Black/113792107781?ssPageName=STRK:MEBIDX:IT&_trksid=p2057872.m2749.l2649
What you really need to do is to develop better skills, this will produce much better results at minimal or zero cost, and this (edited) post sums it up pretty well.
We've all gone a bit off topic here, you didn't ask for advice on either your business model or skillset, you asked about using flash - but I hope that the info you've been given is helpful.