When do you plan on bottling the wine? Most good wines, especially reds need plenty of aging and doing that in bulk is really the best way. By bulk aging you can wait until just before you bottle ( a week or two before) to back-sweeten and better avoid over sweetening. Once you've sweetened and bottled there's no going back and changing.
As mentioned by NorCal - Waiting to age that wine in bulk is a good decision you won't regret. Most wines lose that sharp edge and many end up not even needing any back-sweetening once that edge is gone.
Your K-Meta (campden tablets) one month ago have you covered for now - Normally a dose of campden tablets/K-Meta lasts about 3 months for an aging wine. So for now you are good to go. If you plan on bottling within the next month you should be fine with no further K-Meta. BUT really you will not regret waiting at least another 6-9 months before bottling - it makes that much difference to age that wine.
At the risk of being judgemental or overly opinionated...
At 1-6 months most wines are... well they are wine - an alcoholic beverage.
At 6-12 months most wines are certainly drinkable but have room for improvement - but bottling then is a safe bet.
At 12 months to 24 months those same wines are truly enjoyable.
For those wines allowed to age (Even in the bottle) more than 2 years... I have yet to hear anyone say the regretted that decision.
That wait is really really hard to do but once you've done it - I truly doubt you'll ever regret it. Yesterday we opened a bottle of my first Black Currant wine that was fermented in January of 2016. That wine has 15.5% ABV, it's sweet (Almost too sweet) and has a rock solid flavor and it is fantastic as a dessert wine. I would put it up against just about anything. (Sadly I think it's my last bottle from that batch)
Sorry for the long dissertation.