That is great to hear. I'm a pretty experienced cargo bike rider. I rode my newest build out to the Sea Otter Classic on Thursday. Did not see a Frey booth out there. I snapped the pic below outside of the Schwalbe booth while I was at the event. I hauled another 100 lb load of gravel home from Home Depot with that bike yesterday. Not to say your bike needs a a 100 lb rear wheel capacity or that 100 lb load is anything special. There is no suspension on this bike but under load it became flexible (frame is alloy), both through the oversized tires and the frame flexing under the extra load. Note also it is dual-motor awd.
View attachment 152314
Please note above that I was being rather polite as to the full suspension issue; especially since I was making general comments on an internet forum. You don't want rear suspension at all, I'm afraid. I don't think there is anything you can do to fix the rear ride under load. FS will be a great ride unloaded, but any kind of serious cargo on the rear will fully compress any kind of suspension from a standstill unless its used with the lightest of riders.
Front suspension will have to be beefed up as noted earlier. One solution for the wobbling of the rear caused by the front fork is a Cane Creek Viscoset, but you'll want to test that. Put your bike under load and then take it up to about 35 km/h on a straight, smooth and steady path to see if you can easily induce the wobble that is common enough a product like the Viscoset was created for it.
If you look around you will find the only serious - quality - cargo bike with rear suspension is the Riese & Muller Load series, and those are a totally different bike design. They have both a very high price point and level of engineering. With that said, the word I have heard from Load owners is they dislike its ride when its carrying a load.
I wrote this article on cargo bike types. Since it was written I have built a second Bullitt - also awd - geared for steep hills and plan to release the first of a series of articles on the build at the beginning of next month.