Speed up my lessons and quiz

Since you already have some kanji knowledge (meanings, for at least common things), I would recommend starting in on Grammar right away, especially if you find the wait for the reviews to be annoying and like you’ve got too much time on your hands.

I suggest you check out the following links:
The Ultimate Resource List (It’s newer, and organized differently.)
What do I do now? Free Resource List (Everything is free, some might have free trials, but those are noted!)

Most commonly suggested textbooks for beginner grammar here are (in no particular order):
Minna no Nihongo
Japanese the Manga Way
Tae Kim
Nihongonomori (a YouTube channel, and not a textbook, but it gets recommended a lot too.)

Hope that helps! Feel free to search any of those names themselves to see discussion about said grammar resources.