1/3 sugar break in a week is on the slow side of normal. You under-pitched your yeast. 2+ grams per gallon is more typical, but 1.090 OG isn't considered big for a mead. Under-pitching is probably part of why your lag phase was long. Did you rehydrate it in 35-41°C tap water, letting the temperature equalize for several minutes before stirring? Do that next time, then add must slowly to the yeast so the little helpers can slowly adapt to the cooler temperature and higher sugar concentration.
Next, it sounds like you didn't stagger your nutrients. I'm not sure whether that is supposed to reduce off flavors or speed things up, so I won't comment further besides to say that the instructions can be found by googling "TOSNA", "TOSNA 2", or "batchbuildr".
Did you aerate right after pitch? That speeds up the lag/growth phase, but I've had successful fermentations where I only aerated after the lag phase. By the way, are you aerating with some kind of tool? Shaking a big carboy doesn't do much, either for degassing or aeration.
You don't really need to rack it to secondary unless that yeast in particular causes off-flavors. I'm not sure about that. If you do decide to do it, rack it to secondary after the fermentation is completed, either based on the SG not changing, or when you think it's done because the bubbling slows down a lot and you wait an additional week.
Last, I've been listening to a lot of interviews with meadmakers lately, and it's come up that most find it a good idea to stir the lees every day or two throughout fermentation (with gentle motion so as to not introduce oxygen). That would not be a bad idea for you, since your fermentation got off on the wrong foot. But my gut feeling is that you should only do this if you are sure you can sanitize the stirrer, since your fermentation is going a bit slow and the alcohol probably isn't up to 5% yet.
But despite all my suggestions and words of caution, it's probably going to be fine. If it gets any sulfur smells it needs emergency maintenance, but other than that, you're probably gonna be fine. It's just that if you do all the recommended best practices, "probably" becomes "almost definitely", and things get optimized (shorter aging, more complete fermentation, better flocculation, etc.).