Eight days in on a low end kit wine, or any wine for that matter, is far too soon to even attempt to determine finishing taste or aroma. It should taste/smell like your yeast with some characteristics of the grape. But goodness knows about the grapes used in the kit. Being brutally honest.
While this is noted to be a 4-week kit, it simply means that it COULD likely be bottled at that point. It does not mean it SHOULD be bottled or even consumed at that point. Bulk age for a good six months, making sure it is degassed and clear, and then sample & decide if you need to sweeten it up to your wife's liking. Right now that must is raw. Your SG is 1.000 and as noted it may drop a few more points....you have nothing but time.
As far as plastic-y aroma, dedicated winemaking primary buckets do not usually impart odors into your must. They should not retain winemaking odors either. Is this a food-grade fermentation bucket? Was it used for anything other than winemaking? Combining brewing buckets/non-glass carboys can cause off-odors, or so I am told. Plus, many brewers/cidermakers use bleach containing products in cleansing/sanitizing routine & that is a cardinal sin in winemaking due to potential for TCA/cork taint.
The kit concentrate was stored in a vacuum packed plastic bag. And some kits just have a 'kit smell', it never goes away. But I cannot describe the kit smell because I have never experienced it even though I have made a handful of kits.
I know you did not ask, but I wanted to present a realistic point of view....I would rack in about a month and then rack about every two months until no lees develop for 60d since last racking. You need wine to be degassed, clear & sediment free before you stabilize for sweetening (think 4-6 months from now & about three more rackings), then wait at least two weeks after stabilizing/sweetening and rack one last time, and then bottle. Wait about 6 weeks for newly bottled wine to adjust and then open one. People have reported mixed results about this brand, shared on WMT-HBT-WP US, but be prepared to 'get what you paid for'.
In closing, if you think you would like to backsweeten you should check
www.homewinery.com, they carry many varieties of grape/non-grape concentrates, including syrah.