Puzzle 1: Put gem on the skeleton's hand. Follow the light and remember the 4 numbers hinted by numbers of flame twinkled, use the numbers to the panel on your left hand, and interact with the trigger to open the door. (I couldn't give you the answer because it's random)
Puzzle 2: Turn left to the room with a skeleton and its chest. Win 3 rounds of rock-paper-scissors game and win the key to the Chess Room.
Puzzle 3: Turn back and go straight to use the key to walk in the Chess Room, win 4 rounds of chess game to win the key to the Magic Room. (1. Knight on G6; 2. Queen on C7; 3. Rook on G8; 4. Queen on G8) If unfamiliar with chess notation see video guide. Puzzle 4: After use the key and walk in the Magic Room where you turn right after walk out of the Chess Room, complete the conversation. You have to find more 5 books and place all 6 books on the right place of the shelf. The shelf is on your right hand when you walk in the room. You could use the key 'I' to read the book and guess the word of what it means to. And find how many of these things in the room, to place them in a right order.
(The place of 5 books are: 1. On the wall you escaped from the prison in puzzle 1, turn right; 2. In the prison which is the nearest to the Chess Room; 3. On the vases where you could find on the left side when you walk in the Magic Room; 4. On the table near to the shelf, you may find a footstool there btw; 5. On the crates at the forward-right corner, which you may need a footstool to reach the height to get the book;
Cauldron → I ; Winged Shields → II; Arrows → III; Vases → IV; Coins → V; Prisoners → VI)
Puzzle 5: Go to the spell book and win 3 rounds of memory game. The first round is in the right order, reversed in the second round, and only to remember the color when book nods in the last round.
Last puzzle: Following the hints on the wall, Stand with your back to the magic circle and face the pillar, set the pillars with the correct shape. (Cloud→ I ; Moon→ II; Leaf→ III; Sun→ IV; Fire→ V; Star→ VI)
